The pacey wideman, who featured 21 times for Dover during a loan spell last season, has signed a one-year-deal with Whites.
The 23-year-old joined Sutton from Forest Green Rovers in July 2017 and made 11 appearances for the U’s.
While he was with Forest Green, Jeffrey, who started his career as a trainee with Arsenal, spent the 2016/17 season on loan at Boreham Wood where he made 26 appearances and scored 3 goals.
Jeffrey, who also counts Wycombe Wanderers among his former clubs, found the net once when playing for Dover last season.
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