The 35-year-old former captain was handed the reins for the “foreseeable future” in February after chairman Huw Jenkins sacked Michael Laudrup, but says thus far he has not had talks about his future.
After Swansea’s comfortable 3-0 win at home to Norwich on Saturday, Monk said it would be “great” to take his beloved Swans forward, but stressed he was not the kind to pester his chairman for a new deal.
“I have a very good relationship with all of them and I have a very good relationship with Huw, the chairman,” he said.
“He knows what I do, he knows what I work like. I’m not going to go chasing anything, because I always feel if you’ve earned it, then you’ll get it.
“If that’s to be, then great. If it’s not to be, then it means I haven’t earned it, so that’s the way I feel — that’s my principles. I’ve always been like that as a player. I’ll be like that as a man as well — that’s how I live my life.
Monk joined the Welsh outfit as a player in 2004 when they were in League Two, going on to make 226 appearances and becoming a fans’ favourite.
Now in charge of his former team-mates, he is determined to end the season on a high, after a poor run of results was ended with Saturday’s emphatic win at the Liberty Stadium.
A first-half brace from Jonathan de Guzman and a clinical finish after the break from winger Wayne Routledge saw off the Canaries and lifted the Swans to 13th place, seven points clear of the relegation zone.
Monk added: “I want to win every single game. I’ve told the boys in there, I don’t want to lose another game this season. I don’t care what the points tally is. I’m not even focusing on that. We’re definitely not safe – I know that – but we need to get more wins.
SWANSEA: Vorm, Rangel, Chico, Williams, Ben Davies, Britton, Shelvey, de Guzman (Dyer 77), Michu (Hernandez 73), Routledge, Bony (Vazquez 88).
NORWICH: Ruddy, Martin, Ryan Bennett, Bassong, Olsson, Snodgrass, Howson (Johnson 46), Tettey, Hoolahan (Gutierrez 46), Elmander, van Wolfswinkel (Hooper 73).
Referee: Jon Moss.