Hellickson was one of 10 players to receive qualifying offers from their teams. The deadline for players to either accept or reject the offers is Monday.
Hellickson, 29, was 12-10 with a 3.71 ERA last season. He tied career highs with 32 starts and 189 innings pitched and struck out a career-best 154 batters, while walking just 45.
His 12 victories were the most by a Phillies pitcher last season.
Hellickson said at the end of this season that, although he had hoped to sign a multiyear contract this offseason, he'd "love to be back next year" with the Phillies.
The Phillies acquired Hellickson in a 2015 trade with the Arizona Diamondbacks.