The MP for South Staffordshire, the constituency where HMP Oakwood is situated in, says the problems there need dealing with 'quickly'.
Tory MP Gavin Williamson says prison ministers and its operator G4S have been working together to resolve the 'teething problems'.
Britain's largest jail near Wolverhampton can hold 1600 inmates, but there has been a number of security alerts since it opened in April 2012, most recently prisoners climbing onto the roof twice in November.
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Into the evening it will remain dry with the best of the clear spells in the west.
Some evening sunshine, although low cloud will spread from the coast into many areas early in the night.
Mr Parnell, from Sileby in Leicestershire, was celebrating his first wedding anniversary.