The 26 year old has been linked with Real Madrid.
"The last thing you want is an unhappy player and Liverpool know that," Molby told BBC Radio Merseyside.
"They've been busy in the market and it appears they're almost readying themselves for life without Suarez."
Molby continued: "I think he's made it pretty clear that he would like to try something new, including playing at a club that's in the Champions League.
"If that's how he feels, the club has to do the business."