The 69-year-old, who was confirmed as the second contestant in the line-up by the show's host Sir Bruce Forsyth on The One Show, joins broadcaster Vanessa Feltz in the BBC ballroom.
Jacklin, who was born in Scunthorpe, Lincolnshire, hit the first televised hole in one in Britain in 1967 before going on to captain the European team in the Ryder Cup four times.
Other names rumoured to be in talks to battle it out for Strictly's glitterball trophy include rugby player Ben Cohen, designer Julien Macdonald, singer Sophie Ellis-Bextor, model Abbey Clancy and Hairy Bikers cook Dave Myers.
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