Norway aware of Ole progress
The striker started for the first time since his injury lay-off and showed touches of class as The Red Devils rolled over Spurs 3-0 at Old Trafford.
Norway boss Age Hareide has called for the hit-man to be patient over his international future, but there is the outside chance he may recall him on Monday.
The country announce their squad for their upcoming clash against Serbia and Montenegro at the start of next week, and Solskjaer's impressive display could earn him a recall.
Bjornebye was in England, along with Hareide, watching Liverpool's 1-0 victory over Wolves, but was given a full briefing of Solskjaer's outing.
"We heard that he played well," the former Liverpool and Blackburn defender told Aftenposten.
"At the moment he is not favourite for our next squad. I don't think that he will be that despite starting after his long term knee injury."