Despite Real coach Jose Mourinho playing a weakened side, the hosts took the lead after six minutes through Karim Benzema, although the Catalans hit back 12 minutes later when Lionel Messi raced through to score.
Nonetheless, Sergio Ramos headed home a Luka Modric corner eight minutes from time to condemn Barca to a second straight defeat against their arch-rivals, following their Copa del Rey semi-final defeat earlier in the week.
Nonetheless, Roura believes his side have nothing to worry about, even though their lead at the top of La Liga could be cut to nine points if second-placed Atletico Madrid beat Malaga on Sunday.
"We came here to try and increase our advantage [over Madrid in the table] and we have to be happy with the team's attitude," he said in the post-match press conference.
"We stood up and were counted and had chances to win at a very difficult stadium.
"We could have got something from the game, but we are still alive and well."
Roura did not comment on goalkeeper Victor Valdes being sent off at the final whistle for arguing with the referee, simply saying: "I went straight to the dressing room after the game and I didn't see anything."
Roura did not complain outright about the penalty which Adriano was denied in the final minutes of the game after a challenge by Ramos, but implied he was not happy with the decision.
He said: "I don't have anything more to say about the refereeing. I spoke during the week and to me it is perfectly clear if you look at the replays."
Roura stressed the need for his team to return to winning ways and hold onto, or increase, their lead at the top from now until the end of the season.
"The important thing is now to keep trying to pick up points, we still have a significant advantage and we will try to extend it even further," he added.