Meanwhile, Kilmarnock could move into fifth place with a victory against a side whom they defeated 2-1 back in September.
Hamilton earned a hard-fought 1-1 draw with Aberdeen last weekend, ending a run of five consecutive league defeats.
Hamilton's eight-match winless league run is the longest losing streak of all the sides in the Scottish Premiership this campaign.
The Accies head into Saturday's match with a good record against Kilmarnock in recent seasons, winning their last two home matches against them without conceding a goal.
A win this weekend would be their first in the league since mid-September and could move them level on points with St Mirren in 11th place.
Kilmarnock were dealt a blow to their league campaign this week as the SPFL announced that they, along with St Mirren, have been consigned to Scottish Premiership defeats after being found guilty of breaches of coronavirus protocols.
Kilmarnock beat Hamilton earlier this season and another victory would see them win back-to-back league meetings against the Accies for the first time since April 2018.
Hamilton Academical Scottish Premiership form: LLLLLD
Hamilton Academical form (all competitions): LLLWLD
Kilmarnock Scottish Premiership form: WWLLLW
Kilmarnock form (all competitions): LLLWWW
Kilmarnock defender Stuart Findlay, who was shown a straight red card after just eight minutes against Ross County, is suspended for this weekend.
Clevid Dikamona remains sidelined with a ligament injury but is close to a return to training.
Striker Eamonn Brophy, who started and scored last weekend, will be hoping to keep his place in the starting lineup.
Hamilton Academical possible starting lineup:
Fulton; Stirling, Martin, Easton; Hodson, Callachan, Odoffin, Martin, McMann; Ogkmpoe, Moyo
Kilmarnock possible starting lineup:
Rogers; Millen, Broadfoot, Findlay, Waters; Power, Dicker, Tshibola; Burke, Kabamba, Kiltie
We say: Hamilton Academical 1-2 Kilmarnock
None of Kilmarnock's last 11 matches has ended in a draw, while Hamilton's 1-1 result last weekend was the first for them in their previous six matches. The Accies will be desperate for the three points, but the visitors have plenty of attacking options that are likely to cause problems for Brian Rice's side.