Next season's top-flight is scheduled to begin on September 12, although Chelsea face Bayern Munich in a rescheduled Champions League match on Saturday (08.08.20).
The Blues trail 3-0 in the tie but will only have 35 days to prepare for the new season if they are knocked out, which Lampard feels is too short.
He said: "Players need to be given a break to play at the level and quality the Premier League is."
It is understood that when Premier League clubs agreed on a start date to next season, a 30-day break would be allowed for teams still playing in European competitions. In addition to Chelsea, Manchester City are still in the Champions League whilst Manchester United and Wolves remain in the Europa League.
Lampard lost Cesar Azpilicueta and Christian Pulisic to injury in the FA Cup final loss to Arsenal at the weekend, which he hopes serves as a warning to Premier League organisers.
The 42-year-old manager said: "I would like to think the Premier League would look seriously at that.
"Hopefully they give us a fair start next season. Even in a worst-case scenario - we don't go through against Bayern - the 12th feels too early for me for the players to start playing again."