Mr Zelenskyy's comments were featured in a Ukrainian documentary called Year, The Times reported.
His prediction comes after Mr Putin warned his people that they might not survive as a nation if Ukraine wins the war.
“There will definitely be a moment when the fragility of Putin’s regime will be felt inside the state," Mr Zelenskyy told the documentary.
“And then the predators will devour a predator. They will find a reason to kill a killer.”
Buy analysts say it is unlikely that Mr Putin’s inner circle would move against him because they owe their positions to him.
Mr Putin has recently accused the US-led military alliance of wanting to “disband the former Soviet Union and Russia”, and claimed that he has no choice but to take Nato’s nuclear capabilities into account.
Putin's inner circle – in pictures
Head of Russia's SVR intelligence service Sergei Naryshkin has seen his status eroded by the strong resistance encountered in Ukraine, which he did not foresee. EPA
Head of Russia's Roscosmos space agency Dmitry Rogozin has threatened to abandon a Nasa astronaut on the International Space Station. AFP
Russian Defence Minister Sergei Shoigu was one of the architects of Moscow's intervention in Syria. AFP
Russian President Vladimir Putin meets with Russia's oil giant Rosneft chief Igor Sechin. He has been described as Mr Putin's right-hand man. AFP
Secretary of Russia's Security Council Nikolai Patrushev attends a meeting in Moscow. He is said to have known Mr Putin for 50 years. AFP
Sergei Ivanov, Russian special representative on questions of ecology and transport, is a close friend of Mr Putin. AFP
Federal Security Service director Alexander Bortnikov is responsible for a huge network of agents in Russia. AFP
At 58, president of the Duma Lower House of Parliament Vyacheslav Volodin is one of the younger members of the inner circle. He has been touted as a possible successor to Mr Putin. AFP
The return to Ukrainian control of the Crimean Peninsula would be part of an end to the war, Mr Zelenskyy said on Sunday.
“This is our land. Our people. Our history. We will return the Ukrainian flag to every corner of Ukraine,” he wrote on Twitter.
Mr Putin is being “too confident” in his military’s ability to grind Ukraine into submission, the head of the CIA said on Sunday.
CIA Director William Burns told CBS that Mr Putin believed “he can make time work for him, that … he can grind down the Ukrainians, that he can wear down our European allies, that political fatigue will eventually set in”.
One year of the Russia-Ukraine war - in pictures
February 24 will be a year since Russia started the Ukraine war. The National picks out the most powerful images from the conflict. AFP
A member of Ukraine's 79th Air Assault Brigade fires a rocket-propelled grenade at Russian positions near Marinka in February. Reuters
Ukrainian President Volodymyr Zelenskyy addresses MPs in Westminster Hall, London, in February 2023. Getty Images
Destroyed buildings 32km west of the front lines in Donetsk in January. Getty Images
An anti-aircraft gun in January fires at Russian positions near Bakhmut, Donetsk. Reuters
Destruction in the village of Bohorodychne, Donetsk. AFP
A Ukrainian artilleryman discards an empty shell on the outskirts of Bakhmut, eastern Ukraine, in December 2022. AFP
Children receive presents from a Ukrainian soldier dressed as Santa on Christmas Eve in Sloviansk. Getty Images
More than 1,000 missiles and rockets fired by Russian forces collected for cataloguing in Kharkiv in December 2022. Getty Images
The Metro provides shelter as Russia launches another missile attack on Kyiv, Ukraine's capital, in December 2022. Getty Images
Children at a PE class in Kyiv after Russia abandoned its attempt to seize the capital in November 2022. Getty Images
A sniper searches for Russian positions on the bank of the Dnipro river in Kherson in November 2022. Getty Images
Graffiti by Banksy on a wall among the debris in Borodyanka in November 2022. Getty Images
Ukrainian flags flutter around graves in a cemetery for soldiers killed in action in Kharkiv in October 2022. Getty Images
Parts of a drone, which Ukrainian authorities said was Iranian-made, after a Russian strike in Kyiv in October 2022. Reuters
An elderly woman is helped across a damaged bridge in Bakhmut in October 2022. Getty Images
Fuel tanks ablaze on damaged sections of the Kerch bridge in Crimea, in October 2022. Reuters
A destroyed bridge makes crossing the Donets river difficult, in Staryi Saltiv, east of Kharkiv, in September 2022. AFP
Firefighters at a thermal power plant in Kharkiv damaged by a Russian missile strike in September 2022. Reuters
Ukrainian soldier Oleksandr with his daughter Nikole at Lviv railway station in August 2022. Getty Images
Ukrainian President Volodymyr Zelenskyy and then-British prime minister Boris Johnson read a plaque in Kyiv in August 2022 dedicated to the latter for his support. Getty Images
Destroyed Russian military equipment on Khreshchatyk street in Kyiv. The materiel was turned into an open-air military museum ahead of Ukraine's Independence Day on August 24. AFP
Shakhtar Donetsk v Metalist Kharkiv kicks off the Ukrainian Premier League season in August 2022 amid fears of bomb and missile alerts. EPA
Ukrainian servicemen fire an American-made 155mm M777 howitzer in July 2022 in the Kharkiv area. EPA
A bomb crater on the Antonovsky bridge across the Dnipro river in Kherson, July 2022. AFP
Maksym and Andrii with plastic guns at a 'checkpoint' they set up while playing in Kharkiv, July 2022. AP
Ukrainian troops on Snake Island in June 2022. Reuters
A woman evacuated from an area of conflict in June 2022 contemplates what the next move might be. AP
Romanian President Klaus Iohannis, Italian Prime Minister Mario Draghi, Ukrainian President Volodymyr Zelenskyy, French President Emmanuel Macron and German Chancellor Olaf Scholz in Kyiv in June 2022. Getty Images
Graves in Irpin cemetery, May 2022. Getty Images
A Ukrainian soldier trapped within the besieged Azovstal Iron and Steel Works complex in Mariupol in May 2022. Reuters
The wreckage of a Russian helicopter in a bomb-cratered field in Biskvitne, May 2022. Getty Images
A Ukrainian army officer inspects a grain warehouse shelled by Russian forces in May 2022 near Novovorontsovka, Kherson. Getty Images
A boy from Mariupol arriving at an evacuation point in Zaporizhzhia in May 2022. Getty Images
A Russian serviceman on guard outside Zaporizhzhia nuclear power station in May 2022. AFP
Oksana searches for salvageable items on the destroyed second floor of her home in Hostomel, April 2022. Getty Images
A floral memorial wall in Lviv for Ukrainian civilians killed during the Russian invasion, April 2022. Getty Images
People fleeing Lviv, eastern Ukraine, in April 2022, wait for a bus that will take them to Poland. Getty Images
A Russian soldier patrols a bombed Mariupol theatre in April 2022, as Moscow intensified its campaign to take the strategic port city. AFP
A Ukrainian celebrates success in Hostomel in April 2022. Getty Images
Julia Palovskaya reads to children during an air raid drill in the basement shelter at a preschool in Lviv, April 2022. Getty Images
Volodymyr Zelenskyy in Bucha in April 2022, where hundreds of bodies were found in the street and it was claimed the Russian leadership was responsible for killing civilians. AFP
Oleh Smolin, 23, who suffered leg injuries from Russian shelling in April 2022, in hospital in Chuhuiv. Getty Images
Fleeing refugees arrive at the border train station of Zahony, Hungary, in March 2022. Getty Images
A father says goodbye to his daughter on an evacuation train about to leave Odesa in March 2022. AFP
Ukrainians under a destroyed bridge as they try to cross the Irpin river on the outskirts of Kyiv in March 2022. AP
People cram into Kyiv station to catch trains to Poland or to western parts of Ukraine, shortly after the initial invasion in February 2022. Getty Images
A demonstration in support of Ukraine in Trafalgar Square, London, February 2022 . Getty Images
Russian army vehicles in Armyansk, Crimea, in February 2022. AFP
Volodymyr Zelenskyy in Kyiv on February 25, 2022, in a video on Facebook. He said 'we are all here', shortly after the Russian invasion began. AFP
A residential building damaged by a missile strike in Kyiv in February 2022. Getty Images
A metro station in Kyiv in February 2022, crowded with people trying to escape the invasion. AFP
A police officer addresses people gathered to protest against the invasion of Ukraine, in central Saint Petersburg, Russia, February 2022. AFP
A protester in support of Ukraine, in Berlin, Germany, in February 2022. Getty Images
Ukrainian soldiers prepare to repel an attack in Ukraine's Lugansk region on February 24, 2022. AFP
Volodymyr Zelenskyy in Kyiv on February 24, 2022, after Russia launched a full-scale invasion. AFP
A mass exodus from Kyiv after pre-offensive missile strikes by Russian armed forces on February 24, 2022. Getty Images
Security personnel inspect the remains of a shell in Kyiv on February 24, 2022, soon after Russian President Vladimir Putin announced a military operation in Ukraine. AFP
CCTV footage shows Russian military equipment crossing a Crimea border checkpoint on February 24, 2022. AFP
Russian President Vladimir Putin in the Kremlin early on February 24, 2022, when he announced a 'military operation' in Ukraine. AFP
“At some point, he’s going to have to face up to increasing costs as well, in coffins coming home to some of the poorest parts of Russia," Mr Burns said.
Goalkeepers: Francis Uzoho, Ikechukwu Ezenwa, Daniel Akpeyi Defenders: Olaoluwa Aina, Abdullahi Shehu, Chidozie Awaziem, William Ekong, Leon Balogun, Kenneth Omeruo, Jamilu Collins, Semi Ajayi Midfielders: John Obi Mikel, Wilfred Ndidi, Oghenekaro Etebo, John Ogu Forwards: Ahmed Musa, Victor Osimhen, Moses Simon, Henry Onyekuru, Odion Ighalo, Alexander Iwobi, Samuel Kalu, Paul Onuachu, Kelechi Iheanacho, Samuel Chukwueze
On Standby: Theophilus Afelokhai, Bryan Idowu, Ikouwem Utin, Mikel Agu, Junior Ajayi, Valentine Ozornwafor
UAE currency: the story behind the money in your pockets
Houthis: Iran-backed rebels who occupy Sanaa and run unrecognised government
Yemeni government: Exiled government in Aden led by eight-member Presidential Leadership Council
Southern Transitional Council: Faction in Yemeni government that seeks autonomy for the south
Habrish 'rebels': Tribal-backed forces feuding with STC over control of oil in government territory
THREE POSSIBLE REPLACEMENTS
Khalfan Mubarak
The Al Jazira playmaker has for some time been tipped for stardom within UAE football, with Quique Sanchez Flores, his former manager at Al Ahli, once labelling him a “genius”. He was only 17. Now 23, Mubarak has developed into a crafty supplier of chances, evidenced by his seven assists in six league matches this season. Still to display his class at international level, though.
Rayan Yaslam
The Al Ain attacking midfielder has become a regular starter for his club in the past 15 months. Yaslam, 23, is a tidy and intelligent player, technically proficient with an eye for opening up defences. Developed while alongside Abdulrahman in the Al Ain first-team and has progressed well since manager Zoran Mamic’s arrival. However, made his UAE debut only last December.
Ismail Matar
The Al Wahda forward is revered by teammates and a key contributor to the squad. At 35, his best days are behind him, but Matar is incredibly experienced and an example to his colleagues. His ability to cope with tournament football is a concern, though, despite Matar beginning the season well. Not a like-for-like replacement, although the system could be adjusted to suit.
TWISTERS
Director: Lee Isaac Chung
Starring: Glen Powell, Daisy Edgar-Jones, Anthony Ramos
