Both are trailing the current Toolstation Northern Counties East Premier Division leaders but still harbour title ambitions.
Thackley go into the weekend in fifth spot, eight points off the pace but with two games in hand.
The Dennyboys need to put the points on the board because they and third-placed Basford United have the joint worst goal difference of the top eight clubs.
Brighouse are two places below their hosts and there is a five-point gap but they have five games in hand on Thackley.
Albion Sports have tumbled to ninth but would improve their position if they can manage a win at sixth-placed Pickering Town. Albion trail their hosts by just one point and have played three games fewer at this stage.
Kulwinder Sandhu’s men are one of three clubs on 47 points after they were denied the chance to breach the 50-point watershed when last Saturday’s trip to whipping boys Lincoln Moorlands Railway was postponed.
Liversedge will need a draw if they are to keep their season’s average up as they have gathered just 27 points from 27 league games.
Sedge are a lowly 18th as they host mid-table Worksop Parramore.
The visitors are in a false position in the table as they, like Brighouse, are just halfway through their season, having seven games in hand on some clubs.
Eccleshill United are sixth in Division One and head coach Lee Duxbury is getting somewhere near a full-strength squad after injuries and holidays.
However, the Eagles will still be without suspended leading scorer Marcus Edwards for Saturday's trip to Gimsby Borough.
Silsden journey to the west coast to face AFC Blackpool in the North West Counties top tier.
The home side are a buoyant tenth but have played three games more than the Cobbydalers, who are a lowly 18th and are just four points above the drop zone.
But Silsden have games in hand on three of the four clubs below them and could yet overhaul Blackpool.
Despite the eight places between them, the gap is just eight points and Silsden have played three games fewer.