The Blues to a great extent impressed last term, lifting the Europa League trophy and completing third in the league.
In any case, formeer coach, Maurizio Sarri, left Stamford Bridge not long after the season completed to join Juventus, with Lampard leaving his job at Derby County to take over.
Lampard dazzled at Pride Park in his first season in the board, taking the Rams to the Championship play-off definite, where they were beaten by Aston Villa.
Yet, with Chelsea’s progressing transfer ban and the departure of star man Eden Hazard, Lampard has been advised to raise his game.
“It’s going to be a tough season for Frank.
“It’s great to see him get the opportunity at Chelsea and I’m sure he’ll do well in the long term, but they’ve lost their best player in Hazard.
“He’s got a big job and it’s going to be a tough year. If they make the top four, and I think they can finish fourth, it’ll be a big achievement,” Redknapp told Football London.