Captain Alun Wyn Jones says the Ospreys need to cut out the errors in their game ahead of the return clash against the Scarlets at the Liberty Stadium.
Lock Ian Evans and fly-half Dan Biggar scored the points in the
10-6 away win at Parc Y Scarlets
on Boxing Day.
The Ospreys host the Scarlets at the Liberty Stadium on Friday, 3 January.
"Our error account is pretty disappointing, but we'll take heart from the way we rallied at the end," said British and Irish Lion Jones.
"We probably hadn't been patient enough earlier in the game and tried a little too hard.
"We coughed up the ball, especially in the first half, and they capitalised on that playing what was possibly a superior kicking game, for parts of the game at least, which kept us under pressure.
"Usually the derbies go one of two ways; either you get a lot of rugby played and it's un-attritional or it's attritional, you don't get much rugby and it's the battle of the boot.
"In fairness to the Scarlets I think they were in the ascendancy for a large proportion of the game even though we had a lot of territory."
The Ospreys were trailing 6-3 for most of the Welsh derby, played in front of a 14,796 crowd, before lock Evans barged his way over from short range towards the end of a compelling contest.
The Scarlets have a chance to avenge their defeat to their arch-rivals when they travel to face the Ospreys in Swansea only eight days after their Boxing Day clash.
"Sometimes we do put a little too much emotion, or emphasis, on these derby fixtures to the detriment of other games, but I do like the notion of playing them back-to-back, especially this time of year," said Jones.
"When I grew up it was watching Llanelli v Swansea on Boxing Day, or when I was first in the academy it was Ospreys v Scarlets.
"These were the games I grew up watching and wanting to be involved in. It's a great spectacle that should keep going."