``He's with us if he wants to be,'' said McGeechan when questioned on Baxter's status with the club.
The former Salford City Reds rugby league player, who has been playing for the Berlin Thunder American football team in Germany since being released by Leicester Tigers in 2004, responded: ``There's no doubt in my mind. I want to stay here. It's my ambition to eventually win a regular first-team spot.''
Baxter's return to rugby union came about when he was recommended to Wasps coach Shaun Edwards by Martin Offiah, his former Wigan and Great Britain rugby league team-mate.
``We took him in and he's really repaid us today,'' said Edwards.
McGeechan, whose side won three matches in November during the autumn international period, said: ``We had a real cutting edge today and Neil was part of that.
``It was obvious they were just going to play for penalties. There was only one side playing the rugby but you have to be careful not to play too much and let them in.
``In the second half we were good. We started to control the contest. In the first half Bath did that and it didn't suit us.
``We are just disappointed we didn't get the bonus point but in the last 25 minutes I thought we were playing the way we want to play.''
John Connolly, his Bath opposite number, said: ``Getting nothing out of today was disappointing.
``For 70 minutes both sides played a similar game but then they really threw their runners into the midfield. They are a side who keep going forward.''
Bath have taken just one point from their last three matches and Connolly added: ``At this time of the year we knew it was going to be difficult.
``When you take four international forwards out it's always going to be a testing time.''