Hearts were unable to seize their first opportunity to reduce the 15-point penalty handed to them after entering administration but Locke remains confident ahead of their next clash with Hibernian.
"We wanted to eat into that 15 points quickly but one thing is for sure, we'll not feel sorry for ourselves," added Locke.
"We have another cracking game next weekend and it's a game we will have to pick up points in.
"It was a frustrating day. We can certainly play better than that. It was one of those days. There wasn't a lot of quality and we lost a poor goal as well.
"We know we have to improve in the final third. I'm not going to stand here and make excuses but we need to take shots when we create openings."