Sky Deutschland reports the Bundesliga club is expected to activate the purchase option in the 19-year-old's loan contract and sign the Aston Villa right-back permanently.
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However, a final decision is still pending.
The Saxons view Nedeljkovic as an investment in the future, available for a relatively reasonable price. The transfer fee is reportedly €10.5m plus up to €4.5m in potential bonuses.
The six-time Serbia international joined Leipzig on a six-month loan at the beginning of February and has since made three brief appearances for the club.