English has previously said it was unsafe to re-enter the mine. Speaking to reporters this afternoon, he would not say whether he was open to changing his mind.
He did not want to "pre-empt" his discussion with the families, saying "these are people who have suffered the distress of enormous loss".
But he added that any re-entry was not a Government decision and was "at its core a safety issue".
Solid Energy had planned to permanently seal the mine in November but families and supporters of the victims have blockaded the access road. A local farmer has also gifted legal control of the road to the families, further complicating the mining company's plans to close off the entrance.
A petition will be presented at Parliament tomorrow by supporter of the families and author Dame Fiona Kidman, who says Solid Energy should not be permitted to close off the mine. The company is also appearing at Parliament for its annual review.
Pike River mine has been closed since a gas explosion in 2010 killed 29 workers.