On Friday, it was reported that De Boer had identified the Scottish international as a potential signing after Wilfried Zaha was said to have been ruled out of action for a month.
However, while speaking highly of the former Nottingham Forest youngster, De Boer has suggested that he also has other targets in mind before the end of the summer window.
The 47-year-old told reporters: "We want quality players who can improve the squad, are 100% fit and can fit in directly with how we are playing.
"RB Leipzig winger Oliver Burke is a very promising, young Scottish player. It is always interesting to look at, but we are focusing on other players too."
Last summer, RB Leipzig paid Forest a fee of £13m for Burke, but the wideman made just five starts and 20 substitute appearances in the Bundesliga.