And Ulster's run-in could present their most realistic chance of making the top four as they face the might of RaboDirect PRO12 pacesetters Leinster and Munster in their last two games.
The Welsh region - who face Zebre and Connacht - are five points behind and Biggar insists it's all to play for, though concedes they let what could be a crucial bonus point slip against the Dragons.
"We have two games to go and ten points should give us a real good chance of getting into the semi- finals, so we know what we have to do," Biggar told the South Wales Evening Post.
"We have to keep our end up, and we'll be supporting Leinster and Munster over the next few weeks, that's for sure.
"We made no bones about it: the target was 15 points from the last three games.
"We knew how tough that would be but for a team trying to make the play-offs you have to set your standards high.
"But we got the win, we're still in it, and we know what we have to do in the last two games."
Follow us on Facebook, join the conversation on Twitter, sign up to ourYouTube channel for extensive match highlights and sign up for ournewsletter for regular updates on the RaboDirect PRO12
Guinness PRO12 Ospreys News
63x46.png){kind=logo}