Motherwell, meanwhile, are also looking for their fifth top flight victory, which would be their third away league win in a row.
St Johnstone's good run of form in all competitions continued last weekend as they defeated Peterhead 3-1 in the Scottish League Cup.
Stevie May's brace saw his goal tally rise to eight in all competitions this season, five of which have come in the Scottish League Cup.
A win on Saturday could see St Johnstone climb above Motherwell and move up to fifth place in the Scottish Premiership table.
Motherwell went into the international break after suffering a 4-1 home defeat to Celtic, which ended their hopes of winning three league matches on the bounce.
The Steelmen have however won both of their last two away league games by an aggregate 5-0 scoreline, beating Aberdeen 3-0 and Livingston 2-0. They last won three straight away games in the top flight without conceding back in September 2010.
Motherwell go into Saturday's fixture with a good record against the hosts, winning five of their last seven league meetings and keeping a clean sheet in four of their previous six encounters.
A repeat result this weekend would see Steve Robinson's side potentially climb to fifth in the table, winning their fifth league match in seven outings.
St Johnstone Scottish Premiership form: LLLWDW
St Johnstone form (all competitions): WWDWLW
Motherwell Scottish Premiership form: WWLWWL
Motherwell form (all competitions): WLLWWL
Motherwell forward Sherwin Seedorf is unavailable for selection as he is suffering from a hamstring injury.
St Johnstone possible starting lineup:
Clark; Kerr, Gordon, McCart; McNamara, McCann, Davidson, Tanser; Wotherspoon, Conway; May
Motherwell possible starting lineup:
Chapman; O'Donnell, O'Hara, Gallagher, McGinley; Campbell, Maguire, Polworth; Lang, Watt, Cole
We say: St Johnstone 1-1 Motherwell
The last nine meetings have all seen a result for one team or the other, however with both performing well in recent weeks, St Johnstone and Motherwell may have to settle for just a point each in this weekend's meeting at McDiarmid Park.