Patrick Bamford is braced for some extended team meetings with Marcelo Bielsa next week after Leeds featured in another seven-goal thriller.
Bielsa's side, beaten 4-3 at Liverpool on the opening day, came out on top this time as their first Premier League fixture at Elland Road in 16 years ended in victory by the same score against Fulham.
Leeds appeared to be cruising at 4-1 up with over half an hour remaining, but it was all hands on deck after Fulham struck twice in five minutes soon after.
"We wanted to win, but that was too close in the end," Bamford said.
"There's going to be a few long meetings this week to pick out what we can do better, but we won and that's the main thing."
Bamford applied a clinical low finish to put Leeds 3-1 ahead early in the second-half.
Bielsa's side had been 2-1 ahead at the interval, regaining the lead through Mateusz Klich's penalty after Aleksandar Mitrovic's spot-kick had cancelled out Helder Costa's early opener.
Fulham hit back as goals from substitute Bobby Decordova-Reid and Mitrovic made it 4-3, but Leeds held on.
"It's a nice start, hopefully I can keep it up," added Bamford. "The main thing is I'm doing my bit for the team and if that's scoring goals, that's probably the best thing a striker can do."
Meanwhile, Everton's 5-2 win over West Brom made it back-to-back victories at the start of a season for the first time since 2012-13.
James Rodriguez pulled the strings with Dominic Calvert-Lewin scoring a hat-trick.
He cancelled out Grady Diangana's opener for the visitors with a clever backheel, complementing a sublime strike from Rodriguez and Michael Keane's second goal in as many games.
Kieran Gibbs was sent off before the break and was joined by a protesting manager Slavan Bilic before Matheus Pereira made it 2-2.
"I think we had creativity in front," said Carlo Ancelotti.
"I think we are really dangerous up front because we push with full-backs, we have (Andre Gomes) and James between the lines, we had Calvert-Lewin in a fantastic moment and Richarlison looked dangerous on the counter-attack and in the box."