The 37-year-old Scot died on Tuesday. It is not known whether Mr Dick had any underlying medical problems.
Fellow Scot Mr Lindsay said: “I and my team and our families are deeply saddened and shocked at Steven’s passing. We extend our deepest condolences and sympathy to his family and friends.
“We have now opened a virtual condolence book. We will transfer all the messages we have received into this book.”
Mr Dick’s parents, Steven and Carol, said their son was ‘kind, funny and generous’ and he was very happy representing the UK overseas.
The UK’s Foreign Secretary Dominic Raab said he was "desperately saddened" by the news of Mr Dick's death. "Steven was a dedicated diplomat and represented his country with great skill and passion," he added. "He will be missed by all those who knew him and worked with him."