In a reciprocating floor conveyor, elongated inflatable seal members (44, 44') are positioned to seal the gaps (60) between adjacent floor members (16, 16'). A base portion (52, 52') of each seal member (44, 44') is received within a base channel (46, 46') which is formed in a side portion (18) of a floor member (16). Side portion (18) includes a second channel (50, 50') in which a sealing portion (54, 54') of the sealing member (44, 44') is situated. The second side (20, 20') of each floor member (16, 16') includes a third channel (58, 58') which extends longitudinally of the floor member (16, 16') and confronts the sealing portion (54, 54') of the adjacent floor member (16, 16'). When the inflatable portion (54, 54') of the seal member (44, 44') is inflated, it extends into and contacts the inner surface of the third channel (58, 58'). When the sealing portion (54, 54') is deflated, it folds onto itself (FIGS. 11 and 13) and moves away from sealing engagement with the inner surface of channel (58, 58').