The speedy wide-man has emerged as a target for the Reds in recent times, with Brendan Rodgers believed to be considering a £10m move.
Eagles chief Alan Pardew has played down suggestions the Democratic Republic of Congo ace will be leaving, instead claiming he’s worth double the mooted amount, but that has not deterred the Merseyside club.
Instead, Liverpool are ready to offer flop forward Lambert as part of a deal in a bid to persuade Palace to sell.
The 33-year-old forward has endured a nightmare season back with his boyhood club, and came close to joining Aston Villa at the end of the winter window.
Despite his woes at Anfield, Lambert is still thought of highly thanks to his impressive record with Southampton – he scored over 100 goals for the Saints in five years as they rose from League One to the Premier League.
Bolasie is known for his pace, and impressed for the south London club against Liverpool at Selhurst Park earlier this season.