Crawley have made experienced goalkeeper Brian Jensen their second signing of the closed season.
Jensen, 38, has signed a one-year contract at the Checkatrade.com Stadium.
The Dane has made more than 400 appearances since coming to England in 2000 after starting his professional career in Denmark before a spell in Dutch football with AZ Alkmaar.
He made more than 300 appearances for Burnley, helping them win promotion to the Premier league in 2010.
After Burnley released him, he signed for League Two Bury and was first choice last season, winning two Player of the Year awards at the end of the campaign.
JG said: “I’m delighted to have Brian at the club. He’s still a superb goalkeeper who is in fantastic physical condition. He is a real presence in the penalty areas and a character who will be great in the dressing room and around the club.”
Gregory has already signed midfielder Jimmy Smith from Stevenage as he rebuilds his Reds squad.