"Those discussions have been positive to date and we will be in a position to announce the outcome shortly."
Williams' issue with BNZ stems from the Muslim belief that it is wrong to make money from loans.
It is a stance that has caught the Blues and NZ Rugby by surprise. Last Thursday, two days before the Blues loss against the Highlanders, he fronted the media with a jersey displaying the sponsor's logos.
"I don't think any of those distractions need to come into what we're doing," co-captain Jerome Kaino told TVNZ, about the jersey issue.
"All the other stuff will get sorted. For us, we'll get better focusing on our performance."
The Blues, who have dropped to 10th on the points table, face the in-form Hurricanes, who are third, at Eden Park on Saturday.