The result leaves the Falcons rooted to the bottom of the Aviva Premiership table, nine points behind Wasps and with only 12 points from 13 games.
"We have to face up to reality and we have just had a meeting with the players and coaches about where we are," said the former Lions player.
"It's going to be tough old battle now and we have to be realistic. I have to look at myself as well and I will do that and I will have a talk with the owner.
"I'll reflect on things and on my performances over the next few days. I had a dream and vision for this club and it hasn't quite worked and I have to speak to owner and see what happens. The knives will be out for me and quite rightly so. Maybe I'm writing myself off but it's hard not to do so after a result like that and things like that can cost you your job."
Newcastle Falcons only narrowly avoided relegation last season, surviving on points difference alone.