The Culture Media and Sport Committee has repeated its call for a "full, independent investigation" of the bidding processes for the 2018 and 2022 World Cups, and suggested Fifa's new anti-corruption measures do not go far enough.
A statement said: "The committee notes that Fifa has received an apparent retraction of the original allegations related to Qatar's 2022 World Cup bid.
"While it welcomes the withdrawal of the allegations made by the 'whistleblower' in the Sunday Times, the committee is still concerned that no apparent effort was made by Fifa to investigate these allegations when they were put to it, and that other allegations – specifically those made by Lord Triesman in evidence to the Committee – remain."
The statement added that the committee felt the ongoing Fifa action against officials alleged to have offered or received bribes during the presidential election campaign exposed wider problems in the organisation.
"Fifa has imposed a lifetime ban on Mohamed bin Hamman … and has imposed bans of shorter duration on a number of Caribbean Football Union officials.
"Our concern is that the governance failings revealed by this incident are symptomatic of a wider governance failure within Fifa, and we stand by our recommendation that Fifa commission a full, independent investigation of the bidding processes for the 2018 and 2022 World Cups, and for the outcome to be made public."