Wawrinka said he received a text message from Federer on Wednesday night saying he was really happy there were two Swiss players in the semifinals of a major for the first time.
"I told him, `For you it's normal, for me it's not normal,"' he joked.
Federer, who has reached his 11th consecutive semifinal at the Australian Open, said he'd love to see an all-Swiss final at Melbourne Park.
"I'm worried about my match clearly, but I'll definitely watch his first," Federer said after his quarterfinal win over Andy Murray on Wednesday night. "Hopefully he can make it."
Wawrinka jumped out to the early lead against Berdych, getting the only break of the match when the Czech player, looking tentative at the start, made several misses on his forehand before driving an easy overhead long.
With neither player giving anything on their service games after that, Berdych was the first to crack in the crucial tiebreakers. He double-faulted twice in the third-set tiebreaker, including on set point, and then again in the fourth-set breaker.
Little separated the two players in the match -- Wawrinka won total 143 points and Berdych 142. The Swiss player served a bit more consistently, though, facing only one break point in the match.
"It's really hard to find what could be the difference," Berdych said. "I mean, we both play great. We play a good match. Stan was the one that just took it, and that's it."
The women's side also has a first-time Grand Slam finalist after Slovakia's Dominika Cibulkova beat Agnieszka Radwanska in a 6-1, 6-2 rout in the semifinals earlier Thursday.
She'll meet Chinese No. 4-seeded Li Na, who reached her third final in four years at Melbourne Park with a 6-2, 6-4 win over 19-year-old Canadian Eugenie Bouchard.
In a women's tournament full of results, Cibulkova's run has been the most dramatic. The diminutive Slovakian has won all but one of her matches in straight sets and only needed 70 minutes to win her first Grand Slam semifinal.
"When you look at it this way, it is nice for me. I didn't spend so much time on the court," said Cibulkova, who also took out No. 3-seeded Maria Sharapova in the fourth round.
Li, the 2011 French Open champion, was the only major winner remaining in the semis after Serena Williams, Victoria Azarenka and Sharapova all fell. After saving a match point in the third round against Lucie Safarova, she is the favorite to finally win an Australian title.
"I was really feeling after the match I was getting a second life in this tournament," she said. "In China, we say if you have tough time, you pass that, (and) it means you (will) be so lucky."