The 28-year-old netted a deflected second-half strike to seal a crucial win, the Black Cat’s third in four Premier League matches, lifting them to 10th place on 46 points.
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Spurs, in Roberto De Zerbi’s first game in charge, created chances through Richarlison and Dominic Solanke, but were denied by goalkeeper Robin Roefs.
“It doesn’t matter if it is my goal or not,” Mukiele told club website.
“We defended very well until the end and we take the three points - these are the most important things. If they give it to me or not - that’s fine.
“Our target has been achieved and that was to stay in this league.
“We are in a good position and it is important that we now stay humble. We keep working to win our remaining games.”