The 24-year-old is currently on loan at the Midlands outfit having struggled to cement a regular starting spot under Jose Mourinho at Stamford Bridge.
According to the Birmingham Mail, when asked if he would consider extending his stay at Villa, Bertrand said: "I'm just here to concentrate on each game as it comes and to get back playing regularly, I'll leave all that stuff until the end of the season.
"You can't rule anything out. It's important, first and foremost, that my performances are good enough. I need to concentrate on each game."
Bertrand has just under two-and-a-half years remaining on his contract with the Blues.