The Nerazzurri stopper has been linked with a potential move to Tottenham after falling out of favor with the Italian giant, but has opted to join the Hoops instead.
The Brazil international is expected to complete the move within the next day or so but the deal faces complications, as he has two years remaining on his contract and so may be entitled to a payoff.
The 32-year old initially lost his place to understudy Luca Castellazzi last term following a series of injury problems, but despite being fit he has yet to make an appearance for the Nerazzurri in the 2012-13 season.
Hoops boss Mark Hughes has been looking to sign a goalkeeper all summer, with the departure of Paddy Kenny to Leeds leaving an unclaimed number one jersey, which was then filled by new signing Robert Green.
But Green has looked less than convincing in his first two matches in a Rangers shirt - prompting Kenny to send text messages mocking his replacement's performance to club owner Tony Fernandes and technical director Mike Rigg - and Hughes is thought to still be looking to bolster his options between the sticks.
Cesar was also linked with a move to north London with Tottenham but appears to prefer QPR, which avoided relegation on the last day of the season despite losing 3-2 to champion Manchester City.
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