Suarez has made it clear that he wants to leave the Reds, although only Arsenal have made an offer so far that was rejected by the Merseyside club.
"If the only offer is from Arsenal I would expect Luis Suarez to stay at Liverpool," Purslow told BBC Radio 5 live. "It's disappointing as a follower of Liverpool that the player has so publicly and so early in the close season made it pretty clear that he would like to move on.
"I'm pretty realistic about these things and it's not that unusual for a player of that magnitude to want to play at Champions League level. That appears to be his motivation.
"I think there is also an issue with Suarez's judgement. I think coming out so publicly early in the close season he was thinking of Arsenal when he made it clear he wanted to move."
Real Madrid are reportedly considering a bid for the Uruguayan striker.