FIRSTLY, its important to know, whether the thing, in your task manager is LSASS or ISASS.
A Microsoft Windows file stored in the c:\windows\system32 or c:\winnt\system32 directory that is short for Local Security Authority Subsystem Service and has the file descripttion: LSA shell. This file is responsible for how Microsoft Windows handles security and security related policies, authority domain authentication, and Active Directory management on your computer.
Since the font used by task mgr makes Lowercase l and uppercase I the same, you can't quite tell them apart. Isass is a type of gateway worm, it first gets on your system, and disables your firewall, then takes a hold of LSASS' computer responsabilities, and shuts down your firewalls and other security features.
The lsass.exe is a critical system process that cannot be removed from the Task Manager without causing issues with Windows. When attempting to End Process the lsass.exe you will receive the Unable to Terminate Process window with the error This is a critical system process. Task Manager cannot end this process. It is normal to receive this error.
It generally does not hamper internet speed..Unless your are experiencing extreme slow performance, dnt bother about it.