The Irishman's long-range strike on Sunday sent Hibs into the William Hill Scottish Cup quarter-finals - and was the first time a Hibs player other than Griffiths or Doyle had scored since November.
The front pair have netted 23 of Hibernian's 33 goals this season and Deegan hopes more goals can come from midfield and defence.
Deegan said: "I think it encourages everyone now, not just myself, but other boys to chip in with goals and take the pressure off Leigh and Eoin up there because they have been scoring the majority of the goals.
"It would be nice for others to chip in."
Manager Pat Fenlon is now looking for another central midfielder, Jorge Claros, to get off the mark this season following Deegan's first goal for Hibs.
"We have encouraged him and Jorge to try to hit the target a little bit more because both of them strike the ball quite well," Fenlon said.
"Tom Taiwo probably not as much, he's not prolific in front of goal. But those two have got the quality to hit the target."
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