The 24-year-old helped his side remain in the top tier of Danish football on goal difference last season, and has made 17 appearances in the Superligaen in 2023-24, keeping three clean sheets.
Kikkenborg joined Lyngby from second-tier outfit Esbjerg in the summer of 2021 and has established himself as first-choice stopper at Lyngby Stadion, earning 51 starts.
The keeper also possesses some international pedigree, having formed part of Denmark's youth teams in the past, however he is yet to receive a call-up for the senior side.
According to Danish outlet Tipsbladet, two Premier League clubs are monitoring the progress of Lyngby's Kikkenborg ahead of the January transfer window.
The report claims that top-flight newcomers Sheffield United and Luton are both keen on the young keeper, who is said to have improved dramatically since moving clubs two years ago.
It is understood that members of the Hatters' scouting team have flown over to Denmark to watch the shot-stopper at Lyngby Stadion on several occasions in the opening months of this season.
Although no official approaches have been made for the 24-year-old at this stage, it is believed that both Luton and the Blades will table bids for the player in the New Year.
Kikkenborg put pen to paper on improved terms at the Superligaen club in the summer, meaning he is now contracted to Lyngby until the conclusion of the 2025-26 term.
Sheffield United are currently in the process of working out a contract extension for first-choice keeper Wes Foderingham, who sees his deal at Bramall Lane expire at the end of this campaign.
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