Meanwhile, the Hatters are looking for their third home victory of the campaign as they aim to move closer to the playoff places.
Luton have made it difficult for teams to break them down in recent weeks, having lost only one of their last six matches in the Championship.
Jones will be pleased with his team's defensive solidity over the last few weeks but will be seeking improvements from his attacking players, as the Hatters are one of eight teams to have scored only 10 goals or fewer so far this campaign.
A win on Tuesday would see the Hatters win their first match in three and could move them up as high as seventh in the table.
A lack of firepower in attack is also a concern for Aitor Karanka, as Birmingham have scored just nine league goals all season, however six of those goals have come in their last five matches.
Their last match saw the Blues struggle to find the net once again as they drew 0-0 on Friday night against Coventry City, the fifth time they have drawn a blank this campaign.
Birmingham are however six points clear of the drop zone as things stand and a victory at Kenilworth Road could see the Blues jump five places up to 12th in the table.
Luton Town Championship form: WDLWDD
Luton Town form (all competitions): WDLWDD
Birmingham City Championship form: DWWLLD
Birmingham City form (all competitions): DWWLLD
Winger Kazenga LuaLua, who started the last match against Birmingham in January, could be handed only his second start of the campaign, although he will be competing with George Moncur for a place on the left-wing.
Birmingham midfielder Adam Clayton remains out with an ankle injury but is close to a full recovery.
Striker Lukas Jutkiewicz, who has gone four games without a goal, is set to keep his place in the starting lineup with Scott Hogan and Jonathan Leko likely to remain on the bench.
Luton Town possible starting lineup:
Sluga; Cranie, Pearson, Bradley, Norrington-Davies; Rea, Ruddock; Cornick, Berry, Moncur; Collins
Birmingham City possible starting lineup:
Etheridge; Colin, Roberts, Dean, Friend; Sunjic, San Jose, Gardner; Sanchez, Jutkiewicz, Bela
We say: Luton Town 1-1 Birmingham City
Both sides have similar issues in front of goal and have both shown defensive solidity this campaign. Luton have lost their last two encounters with Birmingham but should find a way to secure at least a point on Tuesday night.