Ivanovic has fallen out of favour at Chelsea this season.
The Serbia international has struggled for game time since manager Antonio Conte adopted a 3-4-3 formation.
Conte admitted at the weekend he was unsure what the future held for the club's second-longest serving player.
Branislav Ivanovic is expected to leave Chelsea today
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Sun, January 29, 2017
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Mukhtar Ali (Vitesse Arnhem)
Branislav Ivanovic has fallen out of favour at Chelsea
And White reckons Ivanovic will complete a move to Russian side Zenit today.
"I’m hearing Ivanovic to Zenit will definitely happen today," he told talkSPORT.
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The 32-year-old was also linked with a move to West Brom.
Branislav Ivanovic has won two titles at Chelsea
However, Baggies boss Tony Pulis ruled out a bid for him this morning.
"Ivanovic? That's a definite no, he's not been on the radar," he said.
Ivanovic has enjoyed a fine career at Stamford Bridge, winning two Premier League titles, the Champions League in 2012 and Europa League in 2013.
His final game looks to have been the 4-0 FA Cup win over Brentford on Saturday, where he came off the bench to get on the scoresheet.