Konate had missed Liverpool's preceding three games following the passing of his father.
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"For sure I'm very happy," Konate told TNT Sports post-match.
"I don't have words to describe what I feel right now because it was a very difficult moment for me and my family the last two weeks. But this is part of life. It's very hard to accept but we didn't have a choice to do it.
"I saw the team, we had some injured players. The manager said to me I can take my time, I don't have to rush back. But with this situation I think it was important for me to come back and help the team.
"I think this is what I did today with the team, with Anfield. The atmosphere was unbelievable today.
"This is what we need until the end of the season."