Rafa Benitez admitted Liverpool had qualification in hand after the first leg victory at Anfield.
It was a difficult game because Inter are a strong team, but in the end the result of the first leg proved to be decisive, said the Coach.
The Reds also won 1-0 at San Siro this evening to go through to the Champions League quarter-finals, 3-0 on aggregate.
In the first leg Marco Materazzi was sent off after just 30 minutes, while Nicolas Burdisso saw red just before Fernando Torres netted in Milan.
It is always useful to play a man extra. They had to win and with a man down that made it even more difficult for them, Benitez told RAI television.
The exit comes on a downward spiral for the Nerazzurri, who have been struggling in Serie A as well as Europe.
We are in good shape right now and admittedly it isnt Inters best period of form this season.