Gipson is nursing a right foot injury that he sustained in the third-seeded Jaguars' 45-42 win over the Pittsburgh Steelers last Sunday.
The 27-year-old participated in Friday's workout on a limited basis after failing to practice the previous two days. He was the only Jacksonville player to receive an injury designation.
"We've got some time, so he's progressing in the right direction," Jacksonville coach Doug Marrone said Friday.
Gipson, who has not missed a game since joining the Jaguars in 2016, recorded 64 tackles and four interceptions during the regular season.
Second-year player Jarrod Wilson would get the nod in coverage should Gipson sit out on Sunday (3:05 p.m. ET) versus the Patriots.
Rookie running back Leonard Fournette was limited in practice for the third consecutive day. Fournette suffered an ankle injury in the first half of Sunday's 45-42 victory over Pittsburgh but returned in the second half. He rushed for 109 yards and three touchdowns in the victory.