Is there a type of linear regression in which I can put brackets on the coefficients? (If this question is confusing, there's a further explanation inside)

Let's say I know a coefficient should be between 1 and 4, so I want to limit its range within those numbers. It's similar to using offsets, only that the coefficients are ranges rather than specific numbers that I set. Using my example, if the original estimate said the coefficient was 7, this particular algorithm would change it to 4 because it'd be the upper limit.

Is there any stat package (R or one of those Python libraries) that would allow me to do so?

Hope my grammar isn't too bad as I'm tired and about to hit the sack.