The Hoops were knocked out of the League Cup and watched their lead in the Scottish Premiership cut to just three points.
The Bhoys were denied a place in the League Cup final as they were stunned by Ross County, and then found their lead at the top of the Scottish Premiership cut to just three points on Wednesday as Aberdeen were victorious in the top-of-the-table clash between the pair.
The Evening Times reports that the results have left Deila under serious pressure, but Griffiths has explained that it is the players that need to shoulder the responsibility.
"It is not just the manager, it is the players as well," he said, as reported by the Evening Times.
"We need to do better. We know that. We are the guys who go out there and it is up to us to take responsibility when we wear the jersey and go on that pitch."
While it may be difficult for Deila to take any positives from a very disappointing week, he will be hoping that the defeats make the squad realise that if they do not get their act together, they could end the season without a trophy.
However, he will also be looking to remind them that they are still in a strong position in the league, and have shown very recently that they have the capabilities to put the kind of run together that will see them extend their lead once again.
Before the clash against Ross County, the Hoops had won five consecutive games in all competitions, and with players like Griffiths in the side, Deila will know that they have the potential to go on that kind of streak again.