The stadium, which will host 10 games during the tournament this September and October, is a stone's throw from Mogden Sewage Treatment Works.
Brentford & Isleworth MP Ruth Cadbury claimed she was inundated with complaints from her constituents about the odour emanating from the site in Isleworth, which she said was the UK's second largest sewage treatment .
On the morning of Tuesday (June 9), when she raised the issue in a parliamentary debate on air pollution, she said she had 16 such complaints waiting in her email in-box.
"We're going to host the Rugby World Cup at Twickenham Stadium in a couple of months and there's a real risk that the UK could be rather embarrassed if many matches are spoiled by the stench of sewage floating over the stadium," she told fellow MPs at Westminster Hall.
She also requested a meeting with Rory Stewart, parliamentary under secretary of state for environment and rural affairs, to discuss the subject, to which he consented.
A spokeswoman for Thames Water said: "We're confident rugby fans will not be turned off Twickenham by odour from our works.
"We finished a £140m upgrade in 2013, installing odour-reducing equipment and covers, and have recently refurbished the odour control units.