The Dane's future in south Wales is far from certain after a superb first season in England, but he has put his assistant in the frame to take over if he leaves
Laudrup has been linked with some of the biggest clubs in Europe including Real Madrid after leading the Welsh giants to Capital One Cup glory in his first season in England.
Swnasea chairman Huw Jenkins admits the search has already begun for the Dane's replacement, but the man himself believes former Celtic star Wieghorst - his current No. 2 - has the skills for the job.
"I certainly believe he can be manager here," Laudrup told Wales Online.
"He has experience from Scottish football and is familiar with [English football]. He has shown ability in Denmark, both with FC Nordsjaelland and the Under-21 national team."