Speaking in the club's programme on Saturday, Pomlett said the Saddlers have reached a decision on who to appoint to the role and contract talks are currently ongoing.
After more than 100 applications were made, and a set number of interviews carried out, the announcement is due this week.
Pomlett said: "We have finished the interviewing for the Director of Football and have completed our deliberations and now in the process of concluding the contract with the chosen applicant.
"I hope to announce in the coming days.
"Just to make it clear, this role is there in support of the first team coach but will be focussed on improving recruitment, coaching across all parts of the club, determining the style of play and therefore the type of player we want and financial control. He will sit on the board of the football club.
"I have watched the academy play a couple of times lately and clearly there are some more players who will be knocking on the first team squad door next season. This is very encouraging for the future of the club."
Rumours circulated over the weekend that former Walsall defender Stuart Watkiss was set to take the job but the Express & Star understands those claims are wide of the mark.