The 2010/11 season saw Bjornsson feature less regularly in the first team. A season`s best perfomance as a halftime substitute at Dagenham saw him earn a couple of starts in the cups but he never did enough to cement a place in the side. His low point came at Huddersfield on Boxing Day when he missed an open goal from two yards. Despite his towering physique, Bjornsson often got criticised for being a little too nice, lacking the necessary aggression to be a successful target man. His final appearance as a substitute at Swindon epitomised this flaw when he failed to make any sort of challenge when chasing down a throughball against a stranded keeper.
Bjornsson left the club in the summer of 2011 as part of a rebuilding process that saw the release of ten players.