"In doing my skipper's notes in the programme I stated that to the fans," he told Sky Sports 1.
"Talks haven't begun yet, the manager has pulled me to one side and said he wanted me to stay and the club would be in touch soon and that's where we stand.
"I haven't spoken to the club yet but obviously I would think in the close season then maybe they will approach me or my advisor."
Owen admitted luck was on his side when his penalty squeezed beyond Craig Gordon, and thoroughly enjoyed his first taste of victory in the Tyne-Wear derby.
"I've only played in one (derby) before due to horrendous luck with injuries in my time here and that was a draw at the Stadium of Light, so it's great to get the victory here," he said.
As for the penalty, the England striker added: "I was going to place it but Joey (Barton) put a seed of doubt in my mind, he said 'blast it, he'll go early'.
"So I blasted it and it went a bit too low but sneaked in and when you are confident and your luck is going for you, these things happen.
"I'm obviously very happy."