Both sides will be hoping to claim their third victory of the campaign, with the visitors sitting bottom of the table on goal difference, whereas the home side are two places higher but on the same number of points.
Neither side have begun the 2020-21 campaign as they had hoped but are aware that one or two victories could propel themselves out of the danger zone.
Rice was happy to have won their first match in five but admits the jubilation has not lasted long and he understands that there is more hard work ahead for himself and his squad if they are to ensure a successful league campaign.
Hamilton have lost four of their last six meetings with the visitors including the previous two encounters last season, but a home win could see the Accies overtake Motherwell and move up to ninth in the table.
However, their league form has not been encouraging after four defeats on the spin without scoring a goal, which sees the Saints sitting rock bottom of the Scottish Premiership.
Manager Callum Davidson would like to think that the nine goals scored in their two Betfred Cup matches will give their attacking players the confidence they need in front of goal to start firing in the league.
Victory on their travels this weekend would see the Saints move off the bottom of the table to potentially as high as ninth.
Hamilton Scottish Premiership form: WLWLDL
Hamilton form (all competitions): WLDLLW
St Johnstone Scottish Premiership form: LWLLLL
St Johnstone form (all competitions): LLLLWW
Hamilton midfielder Lewis Smith is unavailable for selection and remains out with a hamstring injury.
Stevie May is likely to be given a place in the starting lineup after scoring three goals last weekend.
Hamilton possible starting lineup:
Fulton; Hodson, Odoffin, Want, McMann; Smith, Mimnaugh, Martin, Callachan; Templeton, Ogkmpoe
St Johnstone possible starting lineup:
Parish; Kerr, Gordon, McCart; McNamara, McCann, Davidson, Wotherspoon, Tanser; Hendry, May
We say: Hamilton Academical 1-1 St Johnstone
A big game for two teams at the wrong end of the table with both sides struggling for goals and points. The Accies and the Saints will both be desperate to win, but with the teams lacking confidence, this fixture could see the spoils shared.