Won't happen. Too arduous a process requiring separate audit by a Sweden regulated firm, including site visits, banking reconciliations, etc.
Sweden's OMX will not accept PCAOB approval face value, just like those at NASDAQ (US) wouldn't blindly accept Sweden's regulatory oversight of work performed by their auditing firms.
The one exception is that NASDAQ (US) does recognize audits performed by PCAOB members as qualifiers for listing.
Stockholm allows fast-track application for those already approved in US, making it a much less costly and time consuming process to endure.