The 1-0 home reverse to Bolton on Saturday followed defeats to Chelsea and Manchester United but their displays have still been generally good and Ashbee is staying relaxed.
It took an inspired performance from Trotters keeper Jussi Jaaskelainen to keep the Tigers at bay on Saturday and skipper Ashbee believes the side can bounce back.
Ashbee said: "I know the characters in the dressing room so I am not worried. We don't bother what people outside the club might say.
"We have lost three on the spin but we are still sixth. That is not bad after three defeats on the bounce. It shows how well we did earlier.
"If we beat Manchester City next week, we will probably go back to third or fourth. We are not at the bottom of the league.
"If we had not created chances like we did (against Bolton), then maybe people would be concerned. But, on a different day, we could have had three or four goals and, in my opinion, their goalkeeper was the difference. I don't think I have seen a display as good as that. I remain confident we have a good side and we will continue to create chances.
"I am also confident we can stop others scoring. I never got carried away when we won at Arsenal so I am not going to get down because we have lost to Bolton, Chelsea and Manchester United."