Haaland has scored 66 goals in 66 games for Dortmund, but a release clause in his contract becomes active next year, meaning he could leave for 75 million euros ($88 million).
Both teams already had — along with Bayern Munich — the best attacks in the league (nine goals from three games).
Hoffenheim substitute Munas Dabbur equalized in the 90th minute for the visitors, giving home fans a familiar sinking feeling after Dortmund had twice taken the lead.
German Super Cup: Robert Lewandowski, Thomas Mueller on target as Bayern Munich beat Borussia Dortmund
New coach Julian Nagelsmann has earned a trophy, which Bayern also won last year against Dortmund in Munich, with his first win in charge.
Bayern Munich are bidding to win a tenth straight Bundesliga title, but were held to a 1-1 draw at Moenchengladbach last Friday.
The 21-year-old set up three goals and scored two after starting the season with a hat trick in the German Cup last weekend.
Dortmund compensated for the departure of Jadon Sancho to Manchester United by signing Donyell Malen from PSV Eindhoven.
Anand and Kramnik will meet later on Sunday in the fourth and final game, where Anand will need only a draw to win the match.
The Indian maestro played out a 39-move draw in an English Four Knights variation game with black pieces.
Sancho, 21, is set to leave Dortmund, who have agreed a transfer with Premier League giants Manchester United.
The club said in a brief statement that the signing was "subject to contractual terms and a medical, which will be completed after Jadon’s involvement in the UEFA European Championship".
After failing to meet Dortmund's £100 million asking price last year, the Premier League club have been in protracted negotiations since the end of the season in a bid to tie up the transfer.
Kobel will be expected to become Dortmund’s No. 1 ahead of Marwin Hitz, who last season beat out Roman Burki for the starting job.
Captain Marco Reus was involved in all four goals on Thursday as Dortmund won the cup for the fifth time and denied bitter rival Leipzig a first title.
Haaland, 20, has been sidelined by deep bruising which saw him miss Dortmund's semi-final thrashing of second-tier Holstein Kiel and Saturday's 3-2 league win over Leipzig.