The striker was impressed with the former Liverpool 'goal machine' on Friday night.
Lambert was once of Rovers himself but didn't hesitate to net against them within hours of confirming his move to West Brom.
And Sharp, formerly of Southampton, Nottingham Forest and Leeds United - now with Sheffield United, was impressed with the 'goal machine' after his debut for the Baggies.
Rickie lambert signed about an hour ago already scored for west brom against former club Bristol rovers #goalmachine— billy sharp (@billysharp10) July 31, 2015
Much like Sharp, Lambert can be considered to have taken a step down in terms of playing level in order to progress his career and earn more game time.
Lambert's time at Liverpool simply didn't work out for the striker, although he still got to play for his boyhood club - a dream for anyone.
His impressive start to life at West Brom, however, shows that the 33-year-old still has plenty of energy left in the tank.
Under Tony Pulis, meanwhile, Lambert has the potential to thrive with the Baggies. It's certainly been a good start to his West Brom spell - and fans will no doubt hope for more of the same.