The Uruguayan's future at Anfield has been the subject of much speculation this summer, with the player himself reportedly keen on either joining Arsenal or Spanish side Real Madrid.
However, Liverpool have retained the stance throughout that the 26-year-old is not for sale at any price.
The former Ajax striker recently returned to training, but he is unable to play a competitive fixture until the end of September for the Reds because he is still suspended for biting Chelsea defender Branislav Ivanovic towards the end of last season.
That ban does not cover friendlies, though, and so he was included in the starting lineup alongside a number of the club's youngster against their League One counterparts.
Suarez found the net during the 2-2 draw, with Adam Morgan scoring the other Liverpool goal.