diff --git a/lib/tasks/full_import.rake b/lib/tasks/full_import.rake
index 6539f3385..6e40e4f20 100644
--- a/lib/tasks/full_import.rake
+++ b/lib/tasks/full_import.rake
@@ -27,19 +27,21 @@ namespace :import do
       archive_path = row[1]
       archive_io = s3_service.get_file_io(archive_path)
       archive_service = Storage::ArchiveService.new(archive_io)
-
-      Rails.logger.info("Performing initial imports for organisation #{row[0]}")
+      logger.info("Performing initial imports for organisation #{row[0]}")
 
       initial_import_list.each do |step|
         if archive_service.folder_present?(step.folder)
           step.import_class.new(archive_service).send(step.import_method, step.folder, step.logger)
         end
       end
+
+      log_file = "#{File.basename(institutions_csv_name, File.extname(institutions_csv_name))}_#{File.basename(archive_path, File.extname(archive_path))}_initial.log"
+      s3_service.write_file(log_file, logs_string.string)
+      logs_string.rewind
+      logs_string.truncate(0)
     end
 
     logger.info("Finished initial imports")
-    log_file = "#{File.basename(institutions_csv_name, File.extname(institutions_csv_name))}_initial.log"
-    s3_service.write_file(log_file, logs_string.string)
   end
 
   desc "Run logs import steps"
@@ -73,11 +75,14 @@ namespace :import do
           step.import_class.new(archive_service).send(step.import_method, step.folder, step.logger)
         end
       end
+
+      log_file = "#{File.basename(institutions_csv_name, File.extname(institutions_csv_name))}_#{File.basename(archive_path, File.extname(archive_path))}_logs.log"
+      s3_service.write_file(log_file, logs_string.string)
+      logs_string.rewind
+      logs_string.truncate(0)
     end
 
     logger.info("Log import complete")
-    log_file = "#{File.basename(institutions_csv_name, File.extname(institutions_csv_name))}_logs.log"
-    s3_service.write_file(log_file, logs_string.string)
   end
 
   desc "Trigger invite emails for imported users"
diff --git a/spec/lib/tasks/full_import_spec.rb b/spec/lib/tasks/full_import_spec.rb
index d39c30f1e..46e407154 100644
--- a/spec/lib/tasks/full_import_spec.rb
+++ b/spec/lib/tasks/full_import_spec.rb
@@ -67,7 +67,8 @@ describe "full import", type: :task do
 
       it "creates a report using given organisation csv" do
         expect(Storage::S3Service).to receive(:new).with(paas_config_service, instance_name)
-        expect(storage_service).to receive(:write_file).with("some_name_initial.log", / INFO -- : Beginning initial imports for 2 organisations/)
+        expect(storage_service).to receive(:write_file).with("some_name_1_initial.log", / INFO -- : Performing initial imports for organisation org1/)
+        expect(storage_service).to receive(:write_file).with("some_name_2_initial.log", / INFO -- : Performing initial imports for organisation org2/)
 
         task.invoke("some_name.csv")
       end
@@ -95,7 +96,8 @@ describe "full import", type: :task do
 
       it "creates a report using given organisation csv" do
         expect(Storage::S3Service).to receive(:new).with(paas_config_service, instance_name)
-        expect(storage_service).to receive(:write_file).with("some_name_logs.log", / INFO -- : Beginning log imports for 2 organisations/)
+        expect(storage_service).to receive(:write_file).with("some_name_1_logs.log", / INFO -- : Importing logs for organisation org1, expecting 0 logs/)
+        expect(storage_service).to receive(:write_file).with("some_name_2_logs.log", / INFO -- : Importing logs for organisation org2, expecting 0 logs/)
 
         task.invoke("some_name.csv")
       end