The first round is Friday (7:30 p.m. ET; NBCSN, SN, TVAS); Rounds 2-7 are Saturday (11 a.m. ET; NHLN, SN, TVAS).
The writers also agree the Carolina Hurricanes will select forward Andrei Svechnikov of Barrie of the Ontario Hockey League with the No. 2 pick.
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They also believe forwards Brady Tkachuk of Boston University in Hockey East and Filip Zadina of Halifax in the Quebec Major Junior Hockey League will be the next two selections. The order, though, was in dispute.
That wasn't the only place they disagreed; the three writers totaled 35 players for 31 draft slots.
The first 15 picks were set by the NHL Draft Lottery, which was won by the Sabres. Picks 16-27 were determined after the second round of the Stanley Cup Playoffs, with the eliminated teams slotted in inverse order of regular-season points. The 28th and 29th picks went to the teams that lost in the conference finals, in inverse order of regular-season points.
The Stanley Cup champion Washington Capitals received No. 31.
No. 30 went to the Vegas Golden Knights, the losing team in the Final, but their pick belongs to the Detroit Red Wings, who acquired it in a trade for forward Tomas Tatar on Feb. 26.
The Red Wings are one of six teams with multiple first-round picks.
The New York Rangers have three selections; in addition to No. 9, they have No. 26, acquired from the Boston Bruins in the trade for forward Rick Nash on Feb. 25, and No. 28, which they received in the trade with the Tampa Bay Lightning for defenseman Ryan McDonagh and forward J.T. Miller on Feb. 26.
The Philadelphia Flyers have No. 14, and No. 19, acquired in a trade with the St. Louis Blues; the New York Islanders have No. 11 and No. 12, acquired from the Calgary Flames; the Ottawa Senators have No. 4 and No. 22, which they got from the Pittsburgh Penguins; and the Chicago Blackhawks have No. 8 and No. 27, which they acquired from the Nashville Predators.