The 26-year-old midfielder has made 13 appearances but started only once since joining from Tottenham on a two-and-a-half-year contract in January. Everton have held talks with Besiktas about a potential loan move to this Turkish side.
While Lampard said the deal would have to be right "for everybody", he also said he understood why there was interest in the potential move.
"The moment Dele's name comes up in the media, people queue up to have an opinion and it's often negative," said Lampard.
"I don't think that is fair to a young man whose talent took him on to the world stage at a young age.
"The only thing I know for sure is that hard work correlates on the pitch."