Barkley has been with Villa all season, and has produced fantastic performances for Dean Smith's side.
However, a hamstring problem in November caused him to miss eight games, and he has struggled to reach his early season heights.
The 27-year-old is admired at Villa, but the price tag set by Chelsea means a permanent move seems unlikely.
Lampard admired Barkley, and it is unclear if Tuchel sees the attacking midfielder as a first team option.
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