The 30-year-old, whose international career has been surrounded with speculation of late, recently revealed that he will retire from international football following the 2018 World Cup.
Before that time, Allardyce is hoping to tap into Rooney's 116-game international experience to help him in his role as England boss.
"He holds a lot more experience in international football than me as an international manager," Allardyce said after his guided the Three Lions to a 1-0 win over Slovakia in his first game in charge on Sunday.
"Using his experience with a team, and playing as a team member, it's not for me to say where he's going to play.
"It's up to me to ask whether he's doing well in that position, and contributing. If so, great."