Lambert, 26, has been linked with moves to a host of higher division sides after netting 20 goals for the Pirates this season.
The striker's latest effort was the winner in Tuesday's 3-2 West Country derby success over Cheltenham Town.
"As far as I am concerned Rickie is going nowhere," said Trollope.
"We have had no offers up to now and his commitment to our club was there for all to see."