David Moyes saw his Everton side reclaim fourth spot in the Barclays Premier League, but still insisted that Liverpool are favourites to clinch the final Champions League place.
Everton beat Portsmouth 3-1 thanks to a double from Nigerian striker Ayegbeni Yakubu and Tim Cahill's 10th goal of the campaign, with Jermain Defoe replying for the Hampshire side.
It meant Liverpool, who took fourth spot earlier in the day with a 3-1 win of their own at Bolton, have been pushed out of the top bracket again.
Moyes explained: "Liverpool are still the favourites, they have to be. We have been consistent but for them fourth would be expected.
"We are doing everything we can to make a fight of it, but the bookies are probably right to make them favourites.
"They are looking at the two clubs and where they have been in the past and they are making their decision on who are the favourites in the light of that.
"We have to keep our play at this level and keep going right to the end.
"Our performances are getting better, so all we can do is to put ourselves in a position to keep going forward."
It has been a great week for Everton, who on Monday beat Manchester City, another of the clubs chasing European qualification, 2-0 at Eastlands.
Moyes said: "We showed a lot of character to get this result. Portsmouth are top opposition, they don't lose too many away from home and they are hard to score goals against.
"This has been a big week. We have now beaten Manchester City and Portsmouth, and they are two teams who have been pushing us all the way.
"They all want a European place. Portsmouth are a good side and hard to beat, but I feel we have realised that we can play against the best teams and cause them problems.