A 3-2 loss to Inverness Caledonian Thistle yesterday put a slight dent in the hopes of the green and white as it resigned them to sitting a point behind Old Firm rivals Rangers with three games left.
But Murphy is maintaining optimism after coming through with the goods for the Black Cats back in the 2006/07 English Championship season. The 28-year old was his side's second top goalscorer with 10 as Sunderland saluted in the second division on the final day of the season to win the Championship and promotion to the Premier League.
He says it still can be done and hopes that his past experiences come shining through again.
"In the last day of the season we won the league for Sunderland at Luton Town," Murphy said.
"We needed a favour from Preston, who needed to beat Birmingham for us to finish on the top of the league.
"They did and we won 5-0 and finished top on the last day of the season so it is not impossible, it can easily be done.
"I have done it so hopefully it can be done again."