The Norwich loanee was stretchered off after just 23 minutes of Town’s 1-1 draw with the Dons following a heavy challenge.
Making an impressive start to life at Huish Park, the 20-year-old has scored twice in 11 appearances for the green and whites to become a favourite amongst the fans.
Having had an initial MRI scan, Jaiyesimi will receive the results early next week but will sit out the trip to Crawley Town this weekend.
Similarly, Omar Sowunmi is waiting to find out the extent of his ankle injury after limping off in second half stoppage time in midweek.
The Glovers were forced to play the final few minutes without the captain’s presence after he was brought down and will likely have to do the same again in West Sussex on Saturday.