The striker has been sold to West Bromwich Albion, and Lawro is hoping he isn't the only striker to depart the club this summer.
The forward joined Albion from the Reds this month after finding himself well down the pecking order at Anfield following the arrivals of Christian Benteke and Danny Ings, as well as the return of Divock Origi from his loan spell.
It brings an end to a disappointing year for the former Southampton forward after his dream move to Merseyside last summer, with him having failed to properly establish himself in Brendan Rodgers side.
And Lawrenson says he feels sorry for the striker, but accepts the club have got a good deal.
“It's hard not to feel a little sorry for Lambert,” he told the Liverpool Echo.
“When he arrived, he knew he wouldn't be playing on a regular basis. He knew he would be playing if and when, and if he scored a few he'd be keeping his place. It was a move Lambert was always going to make once he was aware of Liverpool's interest.”
Balotelli to hopefully follow
The former defender is also hoping he won’t be the only striker to depart Anfield this summer.
Both Mario Balotelli and Fabio Borini have been deemed surplus to requirements ahead of next season, with them having failed to fill the void left by Luis Suarez’s sale and Daniel Sturridge’s injury last season.
Balotelli in particular has proved to be a disappointing purchase after some predicted he could prove to be a coup following his last minute move from AC Milan. Lawrenson though, says he won’t be bothered whatever happens.
“Hopefully he [Lambert] won't be the only striker being moved out of the Liverpool exit before the transfer window shuts next month,” he added.
“You would hope Mario Balotelli will be on his way soon, and there are certainly enough clubs interested in him. But who knows. I don't think anything bothers him. He doesn't seem too bothered that he won't be playing. Mario is Mario. And he always will be.