Let me once again clarify that form 13 or in the process of PF transfer, the previous employer has no role. Since the form is duly signed by the current employer, it should have been sent to the Regional PF Office where the previous employer's accounts are maintained. On receipt of form 13, the PF Office will direct the previous employer to submit the relevant forms, viz, form 3A and break certificate of the employee. The previous employer has to follow that direction and send the form 3A and break certificate, a certificate showing number of days for which no contribution was paid in respect of the employee during his service with (previous) employer, to the EPFO.
Now, I may repeat that since you have received the request for transfer directly from the current employer, you can just send it to your EPFO attaching form 3A and break certificate, so that much time can be reduced.
Normally, the form is not sent to previous employer because there is a chance that the previous employer may not take interest to send it or even thinks that he can hold it for any reasons.
19th February 2011 From India, Kannur