Arsenal persuaded five of British footballâ€™s brightest talents, including midfielder Wilshere, to extend their contracts last week, but an impasse remains with Walcott.
"Everybody at the club wants Theo to re-sign. But that is something he has to sort out, it is up to him and the club if they can reach an agreement and I hope they do," said Wilshere, after Mikel Artetaâ€™s penalty had given them a 1-0 win at Wigan.
"Theoâ€™s been great for us. We just signed five British boys so hopefully he can be the sixth and cap it off.
"Iâ€™m always winding him up, saying, 'Câ€™mon Theo, sign'. Itâ€™s up to him and the club. Theo knows what he means to us and what he means to the fans."