The manager has seen the Wanderers defeat West Ham and draw with Manchester City and Fulham as well as Burnley in recent weeks.
The only blemish came at Wolves but since then there have been signs of improvement.
Megson said: "The Premiership is an unforgiving league. No-one expected us to get anything at Manchester City.
"We also had a great result against West Ham and then came to Turf Moor where Burnley are very strong.
"Manchester United did not get anything at the ground and neither did Everton.
"Although we are disappointed did not get the victory a point is probably fair for both teams."
Megson will be able to call on the services of Fabrice Muamba against Hull if need be after he missed the game yesterday through suspension.
The Bolton boss insists he cannot make wholesale changes to his side and could not freshen up his team, even if he wanted to.
"We do not have a squad big enough to do what other clubs can," he added.
"We wanted to get all three points at Burnley then go back to the Reebok and get a victory against Hull.
"We've had to settle for a point so we will now be looking for all three on Tuesday as that is part of the plan."
Midfielder Matt Taylor put Bolton ahead at Burnley with a superb free-kick after 29 minutes but they could not see the game out.
David Nugent equalised in the 56th minute with his third goal for the club after arriving on loan from Portsmouth.
Megson said: "Taylor's ratio of games to goals so far has not been as good as it was last year but he is capable of doing that.
"I was really pleased for him because he has taken criticism this season but he is still brave enough to take that.
"It was a fantastic strike."