The 'Don't Wake Me Up' singer - who is still on probation for beating her up in 2009 - says he tries not to be a jealous boyfriend but admitted being separated while she is away touring can be tough.
In a radio interview with Power 105.1, Chris said: ''I'm just a regular guy so I be thinking, man I hope nobody's hitting that. But you can't be the jealous boyfriend, I can't be calling her constantly asking what she's doing so I just gotta put that trust out there and hope nothing happens.''
While Chris hates the idea of Rihanna being with another man, he admitted he wouldn't be jealous if she cheated on him with another girl.
He said: ''If it was another girl it would be cool, I ain't with that if it was another guy.''
While Chris, 23 and 25-year-old Rihanna have put their troubles behind them, Chris revealed it is frustrating that other people keep reminding him about his mistake.
He said: ''I gotta take that on the chin, I can't expect people to forget but at the end of the day I'm rich and I'm happy.''