Professor Nick Hardwick, chair of the Parole Board, will be asked why victims were not told the serial sex offender would soon be let out of jail.
He apologised "unreservedly" earlier on Friday to women attacked by the former London cab driver that were "failed by the system".
Worboys is nearing the end of his minimum eight-year sentence.
Commons justice committee chair Bob Neill said he would summon Professor Hardwick to assure victims they would be "fully involved in the whole of the process".
Mr Neill announced in a statement: "We will want to ask about how the Parole system can be made much more transparent, something Nick Hardwick himself has rightly called for.
"In my view it is ridiculous that the current rules prevent the Board making public the reasons for their decisions.
"Professor Hardwick has called for MPs to back 'opening the process up' and we will give him the opportunity to make precisely that case."
Labour's Keir Starmer, director of public prosecutions in 2009 and the current shadow Brexit secretary, refused to answer questions about the case when approached by Sky News.
Asked whether he thought the right decision was made by prosecutors not to pursue further allegations against Worboys, Sir Keir said: "These decisions were nine years ago.
"It's very important you go to the Crown Prosecution Service and get an accurate read out of the decisions that were made, particularly if further allegations have been made now."
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