Ainsworth will see his current contract with Rotherham expire when the 2013/14 campaign comes to a close, and his time with the Millers would appear to be finished.
He is, however, thoroughly enjoying his spell in Scotland and would welcome the opportunity to stay on at Fir Park - especially if European qualification can be secured.
Ainsworth said in the Daily Record: "It would be massive. I've never played in Europe so that would be brilliant.
"When I heard about the loan move, I was trying to get here before the European games at the start of this season but I didn't manage that. Now I'm trying to help Motherwell into Europe.
"Getting there and playing there would be a great experience.
"I love playing up here and if I can go and play in other countries, it is all experience.
"We've got guys who have done it and are still doing it. We've got a few internationals in the dressing room.
"I'm a free agent at the end of the season and I'll see what happens."
PA