The young United midfielder is enjoying his first loan spell away from the club, having made 13 appearances in the Championship.
United have drawn Watford in the FA Cup third-round, and Solskjaer mentioned the club have been watching Garner closely.
"In the FA Cup, you can get drawn away from home in every single round, like we were last season, and it adds to the load for the players, so to get a home draw is always good," he said.
"Of course, we could have had an easier draw, but we'll take a home one. We know Watford are in a good moment.
"We've got Jimmy [Garner] there and he's played well for them this season. We've been following him."