Former manager Jose Mourinho made no secret of his desire to bring the 29-year-old to United, but caretaker boss Solskjaer was coy about a potential summer move.
"It's not easy - I don't know if it's easy either - when you're in the media or when you're a supporter, you can think short-term. If you're travelling to or from the match on the train and see any behaviour that doesn't feel right, you can report it to us discretely by texting 61016 with the details".
"But we should look for quality players, definitely, and players who could improve us as a team".
Solskjaer scored the dramatic victor in the 1999 final as United struck twice in injury-time to beat Bayern Munich 2-1 in Barcelona and become champions of Europe for the second time in their history.
For the first time since the 2009 Champions League quarter-finals, four English clubs have place settings at the top table of European football.
"The confidence in the players, it's sky high", he said.
"I believe that you get what you deserve in life, in sport", he said.
"Every single game that you win puts another layer on that, on the way to becoming the team that we want to be".
Ole Gunnar Solskjaer insists Manchester United "played well" in last weekend's defeat at Arsenal, despite seeing their 12-match unbeaten league run come to an end. "I think you earn your luck, but sometimes it's better to be lucky than good, eh?"
"We regularly review our intelligence to make sure our officers are where they need to be, but you can help too".