President of business operations Crane Kenney said left-field bleachers should be accessible by May 11.
While rooftop owners said the signs mean "lights out" for their business, a judge denied their request.
The owners have asked for a restraining order and say business has suffered due to the construction.
"He was a quality spirit," Jackson said. "I loved the guy."
Season-ticket holders will have several options as construction on the bleachers continues.
Team officials warn the outfield walls may crumble and have to be rebuilt next year when ivy is removed.
The Cubs want to debut new bleachers, five outfield signs and a bleacher expansion by Opening Day 2015.
Construction crews moved the caretaker's house this week. Excavation work is starting.
The caretaker's house will be restored and brought back to its home at 1053 W. Waveland Ave. by March.
INTERACTIVE MAP: Facebook likes show how Chicagoans across the city support the five big sports teams.
A Chicago-based company sells original art — and now prints — with Sandy Koufax and other Jewish stars.
Crews began tearing down the Wrigley Field bleachers this week as part of the renovation project.
On the Twitter handle CubsNoHitStreak, Jimmy Greenfield keeps track of a Cubs streak that began in 1965.
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