He's looking to score

• Player on first, second or third
• Ignoble athlete?
• One who's homeward bound
• One always hoping to score
• One in scoring position, perhaps
• One who wants to come home?
• One dashing to home plate
• One who's looking to score

Wiktionary Word definitions in Wiktionary
alt. 1 (context baseball softball English) A player who is on base. 2 (context baseball softball English) By extension, a player who is trying to advance from base to base. n. 1 (context baseball softball English) A player who is on base. 2 (context baseball ...