Time required for increase unrestricted CoS allocation

Hello,

I had previously applied for a Tier 2 general Visa, which late got rejected as my employer assigned a salary that was below the required level.

They have now agreed to increase my pay, however when we came around to applying for a UCOS again, there were none allocated. My employer had requested one more, justifying that they had previously made an error and that they want to apply for the same candidate again with a altered wage.

My question is, would this justification be sufficient? Also what is the typical turnaround period for a UCOS for Tier 4 stitching to Tier 2?

Regards

yes
2 days to 2 weeks