People in the organization are split between edge rusher Myles Garrett and quarterback Mitchell Trubisky, adds Schefter.
"Don't be surprised if Myles Garrett isn't the No. 1 pick," an anonymous NFL executive told Schefter.
Many have assumed Garrett will be the first off the board given his absurd talent level and positional fit for the Browns, but the team is in the market for a quarterback as well.
Trubisky has been dubbed by some as the most pro-ready quarterback in this year's class.
The Browns also own the 12th pick of the first round.