Arsenal striker Gyokeres stabbed in from close range in the sixth minute in Valencia and then doubled Sweden's lead with a well-taken goal early in the second half.

He won and converted a penalty to complete his treble and seal victory for Graham Potter's team on 73 minutes, with Matvii Ponomarenko heading in a late consolation for Ukraine.

Remarkably, it was Sweden's first win of an otherwise dismal qualifying campaign, but one that moved them to the cusp of only a second World Cup appearance in 20 years.

"It's a huge step forward for the team," said Potter. "We fought together, it was great. Gyokeres was incredible."

Sweden picked up just two points in six matches in their qualifying group that included Switzerland, Kosovo and Slovenia but earned another shot on the strength of their Nations League performances.

The Swedes will return home to Stockholm to face Poland, who beat Albania 2-1, next Tuesday to decide which country goes to the expanded 48-team finals in the United States, Mexico and Canada.

"We've got an incredible challenge ahead of us (against Poland) on Tuesday night," said Potter.

Ukraine, forced to play their home games on neutral ground ever since the Russian invasion four years ago, had been hoping to lift the morale of a war-torn country by competing at a first World Cup since their debut in 2006.

Instead they suffered the bitter disappointment of another play-off defeat after missing out to Wales in the last edition.

"I believed in my team throughout the match. We did everything we could and had chances to score, but their early goal hurt us, just as it did in the second half," said Ukraine coach Serhiy Rebrov.

"We finished the match well, but it wasn't enough. Gyokeres made the difference tonight. He showed his quality and proved he's one of the best strikers in Europe."