The left-arm spinner may be joined in the team by allrounder Mitch Marsh, the younger brother of Test batsman Shaun, but he will have to pass a fitness test on an injured hamstring.
The 22-year-old Marsh has not played since August, on the Australia A tour of Zimbabwe and South Africa.
Beer, who played one of his two Tests against England on the last Ashes tour in Sydney in 2011, has recently lead the state’s one-day side in the Ryobi Cup.
The WA XI will be bolstered by Queensland’s Chris Lynn, who hit the winning runs on Sunday to help the Bulls secure a five-wicket Ryobi Cup final victory over New South Wales in Sydney.
Adam Voges, Nathan Coulter-Nile and Mitchell Johnson are all on international duty in India, while Liam Davis and paceman Joel Paris are injured.
The match clashes with Western Australia’s opening Sheffield Shield game against Victoria starting in Melbourne on Wednesday. Test players Shaun Marsh, Ashton Agar and Marcus North are all playing in the WA Shield side.
WA Chairman’s XI squad:
Michael Beer (c), James Allenby, Burt Cockley, Matt Dixon, Ryan Duffield, Marcus Harris, Chris Lynn, Mitch Marsh, Luke Towers, Tom Triffitt, Ashton Turner, Andrew Tye.