Mick McCarthy's side have overcome the two Manchester clubs, Chelsea and Liverpool during the current campaign.
But they have a dismal record against their fellow strugglers and striker Doyle knows that has to improve - starting with Sunday's derby at West Brom.
He said: "We hope we'll be alright if we can replicate the performances we've shown against the big teams.
"If we could do that against those around us, that would make a bigger difference to the table.
"We seem to do it the wrong way around. I prefer it the other way. We believe we will stay up. Believing in it and doing it are two different things but, if you believe you will, it gives you half a chance."
Source: PA
Source: PA