The midfielder damaged cruciate ligaments in February while on loan at Wolves, but did appear as a substitute in Arsenal's Capital One Cup tie against Coventry City last month. The 20-year-old has taken in several Under-21 games for the Gunners, but wants to play in a couple more before he is at the right level to push for a Premier League comeback.
"I still don't believe I am 100 per cent right - obviously I am playing but I don't think I am ready for the first team yet," Frimpong told Arsenal Player.
"I still need two more 90-minute games [for the Under 21s], then I will be fine.
"It is difficult when you play for the Under 21s, because even though you're playing for points it is still not as competitive as a first-team game. The pressure is totally different.
"But coming back from a nine-month injury, I just have to make sure that when I come back into the team, I am right and ready. I don't want to push myself if I am not ready.
"Once you keep playing you build up your confidence and everything falls back into place. But I am sure that when the time is right and I am called upon, I will do a good job for the team."