Sharks needed an extra five-minute period to beat Bristol Flyers on Friday night and clinch a record-extending 26th successive play-off appearance.
They then backed it up by coming from behind to snatch victory from Worcester Wolves in double overtime on Sunday, Antwon Lillard scoring the decisive three-pointer as time expired.
Sharks, who sit fifth in the BBL standings, have three games left to prepare themselves physically and mentally for the two-legged play-off quarter-final.
Head coach Lyons said: “We have to learn how to win in different ways and this is another way of overcoming adversity in the clutch.
“You want to build that habit of winning back-to-back games; it’s a confidence builder, and we want to make sure we’re on the right side of that by the time the play-offs come.”
“What happened over the last two games is a positive sign for us. It’s a gruelling season this year because of Covid, so many games and guys inevitably are physically tired.
“But the fight was there. We played from behind a lot of that (Worcester) game. Two overtime periods after an overtime period on Friday night; that’s a heck of an ask of your team.”
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