In July a cross-party group of more than 70 parliamentarians called for an extension to the job protection scheme for workers in the travel, tourism and aviation sectors.
Since last month employers have had to cover an additional 10% of furloughed employees wages, which rose to 20% at the start of August.
Speaking to the BBC, McMahon said "it’s just not good enough" that the government plans to end the scheme in September, and the travel industry "hasn’t had the ability" to recover over the summer.