David addressed this question a bit in his webinar:
Building the Digital Branch for the 21st Century but I think it's worthy of additional suggestions and strategies.
"In this time of funding cutbacks, how do you suggest those of us responsible for the "digital branch" lobby for support...especially if many still see the website as a non-essential service?"
"Question for David: When I ask/demand/beg library staff to participate in our dynamic digital content (news blogs, book recommendations, audio, video, Tweets, etc.) I am often told "I don't have any time," but what I'm really hearing is "It's not a high priority for me or my boss." Do you have any suggestions for how to motivate and excite library staff to participate in the our dynamic digital content?"