Alloa eased past their Division One opponents with a narrow play-off victory at Recreation Park.
Scott Agnew rattled the Clyde post in a pulsating first-half before John Grant's shot flew just wide.
Alloa took the lead when Andy Scott converted Agnew's cross in the 31st-minute. Clyde equalised through Steve Masterton's free-kick.
The hosts scored the winning goal eight minutes from time through substitute Adam Coakley's angled drive.
Alloa: Jellema, McClune, Fleming, Townsley, Forrest, Grant, Scott (Coakley 71), McKeown, Andrew Ferguson (Brown Ferguson 78), Agnew, Brown (McAuley 66). Subs Not Used: Hodge, Bruce.
Booked: Townsley, Grant, Agnew, Coakley.
Goals: Scott 31, Coakley 83.
Clyde: Hutton, Neil McGregor, William Gibson, Higgins, Bestvina, Masterton (James Gibson 79), McKay (Bradley 45), Ruari MacLennan, Arbuckle (David McGowan 84), Clarke, Michael McGowan. Subs Not Used: Roddy MacLennan, Cherrie.
Booked: Bradley, Higgins, Ruari MacLennan.
Goals: Masterton 62.
Att: 1,026
Ref: D Somers
Alloa manager Alan Maitland:
"Clyde dominated much of the second half.
"But to break away and score the quality of goal we did has given everyoen in the dressing room a massive lift."
Clyde manager John Brown:
"Alloa had a game plan and stuck by it. We conceded two slack goals and I think one or two of the boys thought they just had to turn up.
"Alloa showed desire and deserved to win. We didn't have enough quality in the right areas.
"Their forwards caused our defenders problems all night. We need to show far greater commitment on Saturday."