The 31-year-old, who joined Dortmund from Werder Bremen last summer, scored 15 goals in 46 games in 2023-24 and finished as a Champions League runner-up.

He also netted twice during hosts Germany’s run to the Euro 2024 quarter-finals, despite not starting a match.

“I’m delighted to be here, and I can’t wait to get out on the pitch with my new team-mates,” said Fullkrug, who has signed a four-year deal.

“I think the Premier League is the best league in the world, and for me it is the right time to move over to England and play for a big club like West Ham.

“I have been thinking about West Ham for a long time now – I know the technical director Tim Steidten very well, because we have history at Werder Bremen together, and I have watched some games and seen how much quality there is in the team.”

Fullkrug is the fifth signing made by new West Ham boss Julen Lopetegui this summer, following the arrivals of former Wolves captain Max Kilman for £40m, Dutch forward Crysencio Summerville from Leeds for more than £25m, goalkeeper Wes Foderingham from Sheffield United and Brazilian winger Luis Guilherme for £25.5m from Palmeiras.

The Hammers, who finished ninth in the Premier League last season, are also interested in a deal for Manchester United full-back Aaron Wan-Bissaka.

The 31-year-old scored 15 goals in 46 appearances in his debut season for the Bundesliga club, in which he finished as a runner-up in the Champions League, after moving from Werder Bremen in a £12.6m deal last summer.

Fullkrug also scored two goals in hosts Germany’s run to the quarter-finals at Euro 2024 despite not starting a game.

The Hammers are in the market for a striker and have also held negotiations for Aston Villa’s Colombia forward Jhon Duran.

New boss Julen Lopetegui has already signed Wolves captain Max Kilman for £40m, goalkeeper Wes Foderingham from Sheffield United and Brazilian winger Luis Guilherme for £25.5 from Palmeiras.

The Hammers are also interested in signing full-back Aaron Wan-Bissaka from Manchester United and Leeds United’s Dutch forward Crysencio Summerville.

The Swiss thought they were going through to the last 16 as group winners after an early goal from Dan Ndoye until Fullkrug headed in the equaliser.

There was an outburst of celebration from home supporters behind the goal as Germany maintained their unbeaten start to Euro 2024.

It was a blow to Switzerland, who had defended resolutely for over 90 minutes but they still progress to the knockout stages.

Murat Yakin’s side knew victory would see them leapfrog Germany and they almost delivered in Frankfurt until pressure took its toll in stoppage time.

Germany, who had largely frustrated the home fans in the stands, created a flurry of chances late on and eventually did enough.

Earlier, Swiss fans were bouncing and singing in the stands after Ndoye had placed a first-time shot into the roof of the net from Remo Freuler’s dangerous cross.

Ndoye also had a goal ruled out for offside in the second half that would have made it 2-0 – the second to be crossed off after the video assistant referee (VAR) intervened for Germany’s Robert Andrich.

Andrich curled a shot from the edge of the box under the arms of goalkeeper Yann Sommer, whose blushes were saved when referee Daniele Orsato overturned his decision after going to the pitchside monitor to see a foul from Jamal Musiala in the build-up.

Germany had lacked the ruthlessness they had shown in their opening two victories of the tournament but high hopes remain that they can go all the way in the competition.