Michael Smith revealed he was disappointed to only draw with Rangers last weekend, with the defender certain the Jambos should have taken all three points.
After Ryotaro Meshino's opener, Steven Gerrard's side got the equaliser just before half-time through Alfredo Morelos.
"I was disappointed," Michael said. "I thought we could and should have won the game. They didn't create a lot apart from the goal, and that was a set-play - which is slack from us. Conceding from set-plays shouldn't happen really. You should be switched on, you should be tight to your men.
"That was the only real chance they created, I don't think Joel [Pereira] had a save to make. On that front, it was positive. And the fact that we were disappointed in the changing room afterwards shows that we should have won the game."
Now, Hearts travel to Livingston on Saturday - having not played at the Almondvale since the 5-0 collapse in December last year. Echoing the sentiments of the manager, Michael insisted the players owe the fans from the last performance at the Tony Macaroni Arena.
"From the crowd on Sunday, I thought they were fantastic. They were right behind us from the word go, and I hope they come out on Saturday in their numbers and we owe them a better performance there this year."
It remains to be seen where the defender will line up on Saturday, if selected. Recently, he has seen himself moved back in to centre-half, where he has still continued to shine.
"I don't mind it," he grinned. "Playing centre-half with Christophe makes it a little bit easier. He's a good, experienced centre-half, played at the top level - internationally as well.
"He loves to go and challenge for the ball and I love to sweep up, so it's quite a good partnership for us. I'm not sure where I'll be playing this weekend, if I'm in there or on the right. Either way, I'm just happy to be in there and help the team."
To watch all of Michael's press conference on HeartsTV, click here.