That would be my guess too judging by the era of the set. Here's the back of another pirate from a different set which has the hairpiece you would need...
Yes that is the one!!! Sylvia is right!!! I just checked my 3053 pirate boat
I've updated his description to say so. Thanks for the confirmation!Klicky Page for "Pirate, white suit with open shirt, red coat, bare feet"