“We estimate that sales of the Palm Pre slowed again over the past week compared to the prior week but likely remain over 30,000 compared to less than 40,000 in the prior week and our estimate of 50,000-60,000 in the week ending June 26th,” Pali analyst Walter Piecyk said in a research note this morning.

Now, to be fair, the holiday weekend may have negatively affected sales. And another report from Piper Jaffray suggests that the Pre is cutting into sales of RIM’s Blackberry. So there’s that. Still, if Pali’s estimates are correct, it’s pretty clear that demand is tapering off a bit.

Perhaps it’s time to ramp up the Pre’s marketing. Problem is, marketing costs money and Palm doesn’t have very much of that right now.