Wilshere, 20, returned to the bench for last Saturday's defeat to Norwich City, but it is understood that he is still some way from making a first-team start.
However, Ramsey has admitted that he cannot wait to play alongside the "gifted" English midfielder when he returns.
"He's been out for a long time and I've been through a similar thing. I'm happy to see him playing again. There's nothing worse than being out for that period of time," he told The Sun.
"We haven't really had a chance to play together. He went out on loan, I got injured, he got injured. I'm looking forward to it. He's a gifted player, one any midfielder would like to play with."
Arsenal face Schalke in the Champions League on Wednesday.