The present disclosure is directed to a hydrocarbyl-substituted succinimide lubricity additive or a hydrocarbyl-substituted succinamide lubricity additive for low sulfur diesel fuel. The additive is derived from an olefin having little to no terminal double bonds and a very high proportion of internal double bonds. The succinimide or succinamide is made by combining the alkylated succinic anhydride with ammonia. Also provided is a method for reducing wear scarring in a compression ignition engine comprising providing to the engine a middle distillate fuel comprising an effective amount of the hydrocarbyl-substituted succinimide and/or hydrocarbyl-substituted succinamide. A method for reducing an average coefficient of friction of a middle distillate fuel in a compression ignition engine comprising providing to the engine the disclosed fuel is also disclosed. Moreover, there is disclosed a method for improving the average film thickness from the combustion of a middle distillate fuel in a compression ignition engine.