The 38-year-old Englishman underwent an MRI scan in Leeds on Monday after being hurt in the Scottish Open at Royal Aberdeen last week.
"Great news with the wrist," Poulter said on his official Twitter account on Tuesday. "On impact I've jarred it and an old ganglion cyst has shown itself.
"No tendon damage. Painkillers and crack on."
Poulter jarred his wrist on the 14th and 18th holes at Royal Aberdeen.
He missed the cut at the Open warm-up event after rounds of 73 and 74 left him on 147, five over par.
Poulter, the inspiration behind the 'Miracle of Medinah' when Europe staged a thrilling comeback to beat the United States at the Ryder Cup in Illinois in 2012, is still waiting to land the first major victory of his career.
He was runner-up to Ireland's Padraig Harrington in the 2008 Open at Royal Birkdale and was tied for third behind champion Phil Mickelson at Muirfield last year.
- Sports & Recreation
- Royal Aberdeen