Solskjaer wants to give both players a chance to fight for their futures in the remaining months of the season.
For Henderson, that likely means trying to shine in limited appearances while De Gea will need to make mistakes like those against Everton earlier this month a thing of the past.
Henderson may well get more chances in the Premier League though as Solskjaer hinted that he was in with a shot of being selected to face Newcastle today.
“Of course Dean is in with a shout. We pick a team on Saturday and Dean was very solid, good kicking and he could or should have had an assist for Marcus, which is another thing we worked on. He was clean in his handling, clean in his short passes and it was a good performance,” Solskjaer said.
“He is maturing all the time but I have a very, very good goalkeeper in David [De Gea]. He saved us against West Brom so I can’t say to you now. I always speak to the players first before I say who’s playing and they will know.”