Lewis was the last man to hold every belt in the heavyweight division, and since retiring in 2004, has seen the Klitschko brothers dominate the division.
The 46-year-old has claimed that fellow Briton Price could be the man to clean up once again.
"I don't see any faults in David now," Lewis told the Independent. "He is potentially the best of the current heavyweight crop.
"I like his style, his approach to the sport, the calm way he goes in there and gets the job done.
"The sort of punch he has can take him right to the top. It's taken a long time to find another undisputed champion but David could be the one."
Price has won all 15 of his fights, with 13 stoppage victories. His next bout is against Tony Thompson next Saturday.