Asylum seekers should be allowed to work, just as any other immigrant with proper documentation, but that doesn't make it easy to find a job. Employers like to hire citizens before immigrants for various reasons; language, patriotism, security, loyalty, etc. On the other hand, it can be easy to find low paying jobs with poor working conditions, but when you need it, you take what you get.
I believe it will be more difficult for asylum seekers to find jobs in Sweden. Many of these asylum seekers may not have the proper documents needed, and obtaining them can become very difficult. Out of the 163,000 asylum seekers that applied to work in Sweden, merely 500 were able to find work.
If an asylum seeker has the proper paperwork, I do not imagine them having a hard time to find employment. Sweden has become the home to many asylum seekers, and they have adjusted as they needed to in order to take them in. The fact that the seekers have proper paperwork should be enough to have them come in, see if the are experienced for the job, and if so hire them.
It is not still more difficult for asylum seekers to find jobs because they are willing to work for below market wages just to make a buck. And, like here in the U.S. where illegals work under the table for cash so as to avoid paying taxes, the same occurs in other countries.