Reports suggest the 50-year-old is on the verge of leaving Real Madrid to replace interim boss Rafael Benitez.
Lampard, who signed a new one-year deal with the Blues on Thursday, told BBC's Football Focus: "There's no way he'll come back and rest on any laurels or rest on anything that happened before.
"With him at the helm we are going to give it a great go."
Mourinho first took charge at Stamford Bridge in June 2004 having just guided Porto to Champions League glory.
He won six trophies in three years, including two Premier League titles, but left in September 2007 after his relationship with owner Roman Ambramovich had become increasingly strained.
The following June, Mourinho joined Inter Milan, where he won a second Champions League crown and two league titles in as many seasons.
He was tempted to Real Madrid in the summer of 2010 and won the Copa del Rey in his first season before deposing Barcelona as La Liga champions in his second.
Lampard praised his former manager as "certainly the best I've worked with, so it would be a great, great relationship" if the Portuguese returned to Stamford Bridge.
"I think he will take the club on again," the 34-year-old England midfielder added.
"He has shown it with Porto, with us, Inter Milan and Real Madrid. I certainly think he can [be successful again] because he is a workaholic. He's got desire."
Mourinho's likely return is thought to have had a bearing on Lampard extending his time at Stamford Bridge, as there had previously been much speculation that he was not going to be offered a new deal.
But Lampard said: "The club have been brilliant and I have seen, I don't know, double figures of managers coming in and you remain loyal to the club.
"So that wasn't in any way the main contributing factor. It is a fantastic place to be at.
"It is not confirmed yet [but] the idea of working with [Mourinho] is brilliant."
Lampard became Chelsea's all-time leading scorer last week, overtaking Bobby Tambling's 202-goal record.