yelena said:
so what exactly is the problem?
if you have a job offer, you should say yes ( as you did ), you don't have lmia, so say no ( and you did that ).
why are you worried?
If you see the previous comments on offer letter in this page. They say that CIC is defining offer letter as follows
http://www.cic.gc.ca/english/immigrate/skilled/offer.asp
A valid job offer has to be:
for continuous, paid, full-time work (at least 30 hours a week),
for work that is permanent and not seasonal,
skill type 0, or skill levels A or B of the 2011 National Occupational Classification (NOC)
and either:
the employer making you the job offer must have a positive Labour Market Impact Assessment from Employment and Social Development Canada OR
you are currently working in Canada in a NOC 0, A or B job on a work permit that was issued based on a Labour Market Impact Assessment, and
you are working for an employer listed on your work permit,
you are authorized to work in Canada on the day you apply for a permanent resident visa, and when the visa is issued, and
your current employer made you an offer to give you a full-time job if you are accepted as a permanent resident.
In other words, your job offer is valid, whether you are working in Canada or not, if your current or prospective employer:
has made an offer to give you a full-time, permanent, non-seasonal job if you are accepted as a permanent resident, and
has a positive Labour Market Impact Assessment from ESDC.
The only time the employer making you the offer does not need to get a new LMIA is when you are already working for them with a work permit that is based on an LMIA.