It's best to make the parsley oil by chopping the ingredients roughly. Doesn't have to be really fine as the food processor or stick blender will do the work.
Place the parsley, garlic, lime juice, tabasco and some of the olive oil in a small container or small food processor. Blend until it resembles a paste. Add more oil until it has the right consistency.
If you want you can use a sieve to make a bright clear oil or you can use it as is. Taste and add salt and pepper to taste.
I find the flavors develop if you leave it to stand for a while. One or two hours is usually enough.