The MP will be joined by the Chair of St James Memorial Park Trust, Dr. Caroline Scott to present the petition.
The legendary TV producer was laid to rest at the Hillside Memorial Park in west Los Angeles.
Monroe is buried at Westwood Village Memorial Park Cemetery in Los Angeles, California.
On March 2, 2007, after a long court battle over where the former reality television star should be buried, she was placed in a lot at Lakeview Memorial Park cemetery in Nassau, Bahamas, next to her late son.