United will face Turkey's Istanbul Basaksehir or Denmark's FC Copenhagen in the quarter-finals of the competition, should they progress beyond the last-16 tie against LASK.
With a healthy 5-0 lead from the first-leg in Austria in March, United are odds-on favourites to book a place in the next round.
Despite his side's route to a potential final in Cologne on 21 August now being fully mapped out – United could go on to face Olympiacos, Wolverhampton Wanderers, Roma or Sevilla in a semi-final – Solskjaer isn't getting carried away with dreams of a showpiece event just yet.
“Well, I don't want to look too far because I just think we should focus on the next game," Solskjaer told manutd.com.
“We're in a position now where we're just focusing on the league but of course, when you look at the ties that can come – we could play Wolves, we could meet Ashley [Young] and Romelu [Lukaku, both of Inter] so there's definitely games to be looking forward to and we just have to keep on our run.
“Hopefully we can go through to the quarter-finals but again, as we said, it's about finishing off the LASK tie first."
Turkish league leaders Basaksehir, who lead Copenhagen 1-0 from their first-leg, boast one of Solskjaer's former players in their ranks, while the Danish champions are managed by one of the boss's good friends.
“It's exciting for me because if it's Istanbul then they've got an ex-player of mine, Fredrik Gulbrandsen that I managed at Molde for a few years," Solskjaer added.
“I've seen them coming through lately and they're improving as a team and obviously Copenhagen is managed by my mate Ståle Solbakken, so that's exciting."