SENIOR Liberals are wooing NSW Transport Minister Andrew Constance to run for the marginal federal seat of Gilmore. The Sauce can reveal a formal approach was made to Constance shortly after the resignation of sitting MP Ann Sudmalis last month. The Bega MP, who has previously considered a jump to Canberra, subsequently confided in local Liberals about such a move. However, those close to the Berejiklian government minister say he has so far chosen to stay put in Macquarie Street. For Constance to run, the party would have to re-open nominations, a prospect not entirely out of the question with the resignation of Sudmalis leaving just one candidate, Grant Schultz, to run after others pulled out. With the seat held by a 0.7 per cent margin, some Liberals believe only a highprofile candidate like Constance could stop it from changing hands.