The two-hour town hall debate will take place at the University of Pangasinan on April 24.
The program is said to be replacing 'Newsroom with Claire Celdran.'
Webb will be seen on the local CNN station before the 2016 elections.
CNN's Chief International Correspondent Christiane Amanpour congratulated the network saying, "Happy birthday, CNN Philippines! You've had a very great first year, may there be many more!"
TV5, together with the Philippine Star, will host this second presidential debate on March 20 at the Performing Arts Hall at the University of the Philippines...
The new morning team will also include former 'Umagang Kay Ganda' host Andrei Felix, and Claudine Trillo.
This is the second-high profile departure at the Kapuso Network in just a single week, following the exit of senior correspondent Sherrie Ann Torres.
Torres has been with GMA-7 for almost a decade, joining the network after a stint at ABC5.
Jarin-Bennett is joining the local CNN station after almost two decades of experience with CNN International.
The veteran journalist will become the new executive producer of the long-running 'The World Tonight.'